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203012201000 = 23537233124471
BaseRepresentation
bin1011110100010001111…
…0000101101000101000
3201102000021021100110102
42331010132011220220
511311232110413000
6233132412004532
720444555144060
oct2750436055050
9642007240412
10203012201000
1179108105414
1233418460748
13161b43b602b
149b7c1823a0
155432b283d5
hex2f44785a28

203012201000 has 128 divisors (see below), whose sum is σ = 545247106560. Its totient is φ = 69304896000.

The previous prime is 203012200997. The next prime is 203012201047. The reversal of 203012201000 is 102210302.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568765 + ... + 1693235.

It is an arithmetic number, because the mean of its divisors is an integer number (4259743020).

Almost surely, 2203012201000 is an apocalyptic number.

203012201000 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 203012201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272623553280).

203012201000 is an abundant number, since it is smaller than the sum of its proper divisors (342234905560).

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

203012201000 is a wasteful number, since it uses less digits than its factorization.

203012201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124732 (or 124718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 203012201000 its reverse (102210302), we get a palindrome (203114411302).

The spelling of 203012201000 in words is "two hundred three billion, twelve million, two hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 233 250 280 350 466 500 700 875 932 1000 1165 1400 1631 1750 1864 2330 3262 3500 4660 5825 6524 7000 8155 9320 11650 13048 16310 23300 29125 32620 40775 46600 58250 65240 81550 116500 124471 163100 203875 233000 248942 326200 407750 497884 622355 815500 871297 995768 1244710 1631000 1742594 2489420 3111775 3485188 4356485 4978840 6223550 6970376 8712970 12447100 15558875 17425940 21782425 24894200 29001743 31117750 34851880 43564850 58003486 62235500 87129700 108912125 116006972 124471000 145008715 174259400 203012201 217824250 232013944 290017430 406024402 435648500 580034860 725043575 812048804 871297000 1015061005 1160069720 1450087150 1624097608 2030122010 2900174300 3625217875 4060244020 5075305025 5800348600 7250435750 8120488040 10150610050 14500871500 20301220100 25376525125 29001743000 40602440200 50753050250 101506100500 203012201000