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83120672125300 = 22525172771606889
BaseRepresentation
bin10010111001100100001010…
…001000101011000101110100
3101220022020222120000102011011
4102321210022020223011310
541343322114031002200
6452441035402322004
723336161512404005
oct2271441210530564
9356266876012134
1083120672125300
1124537308510697
1293a5414ab9304
13374c326ba9054
1416750c21931ac
1599225d14b5ba
hex4b990a22b174

83120672125300 has 36 divisors (see below), whose sum is σ = 180372319456140. Its totient is φ = 33248183883520.

The previous prime is 83120672125277. The next prime is 83120672125301. The reversal of 83120672125300 is 352127602138.

It can be written as a sum of positive squares in 6 ways, for example, as 5306996830864 + 77813675294436 = 2303692^2 + 8821206^2 .

It is a super-2 number, since 2×831206721253002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83120672125301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50924256 + ... + 52531144.

It is an arithmetic number, because the mean of its divisors is an integer number (5010342207115).

Almost surely, 283120672125300 is an apocalyptic number.

It is an amenable number.

83120672125300 is an abundant number, since it is smaller than the sum of its proper divisors (97251647330840).

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

83120672125300 is a wasteful number, since it uses less digits than its factorization.

83120672125300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124180 (or 2124173 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

Adding to 83120672125300 its reverse (352127602138), we get a palindrome (83472799727438).

The spelling of 83120672125300 in words is "eighty-three trillion, one hundred twenty billion, six hundred seventy-two million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 517277 1034554 1606889 2069108 2586385 3213778 5172770 6427556 8034445 10345540 12931925 16068890 25863850 32137780 40172225 51727700 80344450 160688900 831206721253 1662413442506 3324826885012 4156033606265 8312067212530 16624134425060 20780168031325 41560336062650 83120672125300