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102400535220240 = 24354771809158047
BaseRepresentation
bin10111010010000111111011…
…100001101101000000010000
3111102120101200100211202101110
4113102013323201231000100
5101410212244004021430
61001442053443333320
730366123502635225
oct2722077341550020
9442511610752343
10102400535220240
112a69a906612234
12b599ab0081240
13451a437b827ca
141b402d898794c
15bc8a161697b0
hex5d21fb86d010

102400535220240 has 320 divisors, whose sum is σ = 329170337464320. Its totient is φ = 26316656701440.

The previous prime is 102400535220211. The next prime is 102400535220289. The reversal of 102400535220240 is 42022535004201.

It is a super-2 number, since 2×1024005352202402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102400535220198 and 102400535220207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 647832897 + ... + 647990943.

It is an arithmetic number, because the mean of its divisors is an integer number (1028657304576).

Almost surely, 2102400535220240 is an apocalyptic number.

102400535220240 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 102400535220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164585168732160).

102400535220240 is an abundant number, since it is smaller than the sum of its proper divisors (226769802244080).

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

102400535220240 is a wasteful number, since it uses less digits than its factorization.

102400535220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158990 (or 158984 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 102400535220240 in words is "one hundred two trillion, four hundred billion, five hundred thirty-five million, two hundred twenty thousand, two hundred forty".