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103342213230432 = 2531197861944347
BaseRepresentation
bin10111011111110100111011…
…111010001110111101100000
3111112220102022112011010100220
4113133310323322032331200
5102021124323041333212
61003442431331243040
730524141244644451
oct2737647372167540
9445812275133326
10103342213230432
112aa23206273a50
12b7104b6149480
13458818a23b6b7
141b73b0b33b128
15be327c63b38c
hex5dfd3be8ef60

103342213230432 has 48 divisors (see below), whose sum is σ = 295934519708352. Its totient is φ = 31315822190720.

The previous prime is 103342213230419. The next prime is 103342213230491. The reversal of 103342213230432 is 234032312243301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1033422132304322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 103342213230393 and 103342213230402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48930971118 + ... + 48930973229.

It is an arithmetic number, because the mean of its divisors is an integer number (6165302493924).

Almost surely, 2103342213230432 is an apocalyptic number.

103342213230432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103342213230432 is an abundant number, since it is smaller than the sum of its proper divisors (192592306477920).

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

103342213230432 is a wasteful number, since it uses less digits than its factorization.

103342213230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97861944371 (or 97861944363 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 103342213230432 its reverse (234032312243301), we get a palindrome (337374525473733).

The spelling of 103342213230432 in words is "one hundred three trillion, three hundred forty-two billion, two hundred thirteen million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 97861944347 195723888694 293585833041 391447777388 587171666082 782895554776 1076481387817 1174343332164 1565791109552 2152962775634 2348686664328 3131582219104 3229444163451 4305925551268 4697373328656 6458888326902 8611851102536 9394746657312 12917776653804 17223702205072 25835553307608 34447404410144 51671106615216 103342213230432