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103202033141131 = 4761263325742023
BaseRepresentation
bin10111011101110010011000…
…100001101000010110001011
3111112102000111010120202112121
4113131302120201220112023
5102011330230441004011
61003254205353352111
730511046405565451
oct2735623041502613
9445360433522477
10103202033141131
112a979811267081
12b6a92b4108637
134577baa273cb2
141b6b00dc309d1
15bde7c5be4e71
hex5ddc9886858b

103202033141131 has 32 divisors (see below), whose sum is σ = 107568551743488. Its totient is φ = 98939904771840.

The previous prime is 103202033141087. The next prime is 103202033141177. The reversal of 103202033141131 is 131141330202301.

It is a cyclic number.

It is not a de Polignac number, because 103202033141131 - 27 = 103202033141003 is a prime.

It is a super-2 number, since 2×1032020331411312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103202033141096 and 103202033141105.

It is not an unprimeable number, because it can be changed into a prime (103202033141191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455825386 + ... + 2455867408.

It is an arithmetic number, because the mean of its divisors is an integer number (3361517241984).

Almost surely, 2103202033141131 is an apocalyptic number.

103202033141131 is a deficient number, since it is larger than the sum of its proper divisors (4366518602357).

103202033141131 is a wasteful number, since it uses less digits than its factorization.

103202033141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45651.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 103202033141131 its reverse (131141330202301), we get a palindrome (234343363343432).

The spelling of 103202033141131 in words is "one hundred three trillion, two hundred two billion, thirty-three million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 47 61 263 2867 3257 12361 16043 42023 153079 198677 754021 856591 1975081 2563403 9337819 11052049 40259777 52252051 120479941 136868911 519446303 674174989 2455846397 6432838817 8349003571 31686224483 35996523593 392403167837 1691836608871 2195787939173 103202033141131