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200131244423432 = 23735291606763029
BaseRepresentation
bin101101100000010010101111…
…101110110111100100001000
3222020121100201112011120012222
4231200102233232313210020
5202212422242033022212
61545351005140553212
760104001542440520
oct5540225756674410
9866540645146188
10200131244423432
115884a2030801a3
121a5429389b2808
1387893abc0cc2a
14375c5924a4680
151820d162b5c72
hexb604afbb7908

200131244423432 has 64 divisors (see below), whose sum is σ = 429007694544000. Its totient is φ = 85739531705856.

The previous prime is 200131244423381. The next prime is 200131244423441. The reversal of 200131244423432 is 234324442131002.

It is a happy number.

200131244423432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2001312444234322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200131244423392 and 200131244423401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3175193294 + ... + 3175256322.

It is an arithmetic number, because the mean of its divisors is an integer number (6703245227250).

Almost surely, 2200131244423432 is an apocalyptic number.

It is an amenable number.

200131244423432 is an abundant number, since it is smaller than the sum of its proper divisors (228876450120568).

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

200131244423432 is a wasteful number, since it uses less digits than its factorization.

200131244423432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82638 (or 82634 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 200131244423432 its reverse (234324442131002), we get a palindrome (434455686554434).

The spelling of 200131244423432 in words is "two hundred trillion, one hundred thirty-one billion, two hundred forty-four million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 3529 7058 14116 16067 24703 28232 32134 49406 63029 64268 98812 112469 126058 128536 197624 224938 252116 441203 449876 504232 882406 899752 1764812 3529624 56700443 113400886 222429341 226801772 396903101 444858682 453603544 793806202 889717364 1012686943 1557005387 1587612404 1779434728 2025373886 3114010774 3175224808 4050747772 6228021548 7088808601 8101495544 12456043096 14177617202 28355234404 56710468808 3573772221847 7147544443694 14295088887388 25016405552929 28590177774776 50032811105858 100065622211716 200131244423432