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203332210000040 = 2351119132971829137
BaseRepresentation
bin101110001110110111111000…
…001001100000000010101000
3222122221100222022121220021002
4232032313320021200002220
5203122343331230000130
62000241305554134132
760554160500062022
oct5616677011400250
9878840868556232
10203332210000040
115987378475a070
121a97b189881348
13895c1b6b059b4
14382d48d7c9012
15187920db10b45
hexb8edf82600a8

203332210000040 has 128 divisors (see below), whose sum is σ = 525395745878400. Its totient is φ = 70042153697280.

The previous prime is 203332210000039. The next prime is 203332210000061. The reversal of 203332210000040 is 40000012233302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 203332209999967 and 203332210000021.

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, 110248352 + ... + 112077488.

It is an arithmetic number, because the mean of its divisors is an integer number (4104654264675).

Almost surely, 2203332210000040 is an apocalyptic number.

203332210000040 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 203332210000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262697872939200).

203332210000040 is an abundant number, since it is smaller than the sum of its proper divisors (322063535878360).

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

203332210000040 is a wasteful number, since it uses less digits than its factorization.

203332210000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842475 (or 1842471 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 203332210000040 its reverse (40000012233302), we get a palindrome (243332222233342).

The spelling of 203332210000040 in words is "two hundred three trillion, three hundred thirty-two billion, two hundred ten million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 13297 26594 53188 66485 106376 132970 146267 252643 265940 292534 505286 531880 585068 731335 1010572 1170136 1263215 1462670 1829137 2021144 2526430 2779073 2925340 3658274 5052860 5558146 5850680 7316548 9145685 10105720 11116292 13895365 14633096 18291370 20120507 22232584 27790730 34753603 36582740 40241014 55581460 69507206 73165480 80482028 100602535 111162920 139014412 160964056 173768015 201205070 278028824 347536030 382289633 402410140 695072060 764579266 804820280 1390144120 1529158532 1911448165 3058317064 3822896330 7645792660 15291585320 24322034689 48644069378 97288138756 121610173445 194576277512 243220346890 267542381579 462118659091 486440693780 535084763158 924237318182 972881387560 1070169526316 1337711907895 1848474636364 2140339052632 2310593295455 2675423815790 3696949272728 4621186590910 5083305250001 5350847631580 9242373181820 10166610500002 10701695263160 18484746363640 20333221000004 25416526250005 40666442000008 50833052500010 101666105000020 203332210000040