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1232000100400 = 24526774361871
BaseRepresentation
bin10001111011011000111…
…011011010100000110000
311100210000012112122022011
4101323120323122200300
5130141114011203100
62341550101452304
7155003053032256
oct21733073324060
94323005478264
101232000100400
11435540a36163
1217a92a411094
138c23c160a64
14438b44565d6
15220a91e6bba
hex11ed8eda830

1232000100400 has 120 divisors (see below), whose sum is σ = 3008149323264. Its totient is φ = 484783622400.

The previous prime is 1232000100361. The next prime is 1232000100403. The reversal of 1232000100400 is 40010002321.

It is a super-2 number, since 2×12320001004002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1232000100403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19881465 + ... + 19943335.

Almost surely, 21232000100400 is an apocalyptic number.

1232000100400 is a gapful number since it is divisible by the number (10) 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 1232000100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504074661632).

1232000100400 is an abundant number, since it is smaller than the sum of its proper divisors (1776149222864).

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

1232000100400 is a wasteful number, since it uses less digits than its factorization.

1232000100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62699 (or 62688 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1232000100400 its reverse (40010002321), we get a palindrome (1272010102721).

The spelling of 1232000100400 in words is "one trillion, two hundred thirty-two billion, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 400 536 670 743 1072 1340 1486 1675 2680 2972 3350 3715 5360 5944 6700 7430 11888 13400 14860 18575 26800 29720 37150 49781 59440 61871 74300 99562 123742 148600 199124 247484 248905 297200 309355 398248 494968 497810 618710 796496 989936 995620 1237420 1244525 1546775 1991240 2474840 2489050 3093550 3982480 4145357 4949680 4978100 6187100 8290714 9956200 12374200 16581428 19912400 20726785 24748400 33162856 41453570 45970153 66325712 82907140 91940306 103633925 165814280 183880612 207267850 229850765 331628560 367761224 414535700 459701530 735522448 829071400 919403060 1149253825 1658142800 1838806120 2298507650 3080000251 3677612240 4597015300 6160000502 9194030600 12320001004 15400001255 18388061200 24640002008 30800002510 49280004016 61600005020 77000006275 123200010040 154000012550 246400020080 308000025100 616000050200 1232000100400