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203422124024240 = 245111394133402379
BaseRepresentation
bin101110010000001011100111…
…011100010010000110110000
3222200020222001120201120202112
4232100023213130102012300
5203130332002222233430
62000350500023504452
760563522603503202
oct5620134734220660
9880228046646675
10203422124024240
11598a8924898280
121a9946a18b8128
138967815b84904
14383397d106772
15187b722658195
hexb902e77121b0

203422124024240 has 160 divisors (see below), whose sum is σ = 519791393721600. Its totient is φ = 73421559567360.

The previous prime is 203422124024227. The next prime is 203422124024261. The reversal of 203422124024240 is 42420421224302.

It is a junction number, because it is equal to n+sod(n) for n = 203422124024197 and 203422124024206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505347371 + ... + 505749749.

It is an arithmetic number, because the mean of its divisors is an integer number (3248696210760).

Almost surely, 2203422124024240 is an apocalyptic number.

203422124024240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203422124024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259895696860800).

203422124024240 is an abundant number, since it is smaller than the sum of its proper divisors (316369269697360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203422124024240 is a wasteful number, since it uses less digits than its factorization.

203422124024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406675 (or 406669 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 203422124024240 its reverse (42420421224302), we get a palindrome (245842545248542).

The spelling of 203422124024240 in words is "two hundred three trillion, four hundred twenty-two billion, one hundred twenty-four million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 440 556 695 880 1112 1390 1529 2224 2780 3058 4133 5560 6116 7645 8266 11120 12232 15290 16532 20665 24464 30580 33064 41330 45463 61160 66128 82660 90926 122320 165320 181852 227315 330640 363704 402379 454630 574487 727408 804758 909260 1148974 1609516 1818520 2011895 2297948 2872435 3219032 3637040 4023790 4426169 4595896 5744870 6319357 6438064 8047580 8852338 9191792 11489740 12638714 16095160 17704676 22130845 22979480 25277428 31596785 32190320 35409352 44261690 45958960 50554856 55930681 63193570 70818704 88523380 101109712 111861362 126387140 177046760 223722724 252774280 279653405 354093520 447445448 505548560 559306810 615237491 894890896 1118613620 1230474982 1663032407 2237227240 2460949964 3076187455 3326064814 4474454480 4921899928 6152374910 6652129628 8315162035 9843799856 12304749820 13304259256 16630324070 18293356477 24609499640 26608518512 33260648140 36586712954 49218999280 66521296280 73173425908 91466782385 133042592560 146346851816 182933564770 231161504573 292693703632 365867129540 462323009146 731734259080 924646018292 1155807522865 1463468518160 1849292036584 2311615045730 2542776550303 3698584073168 4623230091460 5085553100606 9246460182920 10171106201212 12713882751515 18492920365840 20342212402424 25427765503030 40684424804848 50855531006060 101711062012120 203422124024240