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1022332101132 = 2232231307292301
BaseRepresentation
bin11101110000001111011…
…11011110001000001100
310121201211002012201001210
432320013233132020030
5113222214004214012
62101353004534420
7133601225323416
oct16700757361014
93551732181053
101022332101132
11364628901021
12146174b51410
1375536b77a74
14376a43559b6
151b8d70e523c
hexee07bde20c

1022332101132 has 48 divisors (see below), whose sum is σ = 2397980132352. Its totient is φ = 338988494400.

The previous prime is 1022332101127. The next prime is 1022332101137. The reversal of 1022332101132 is 2311012332201.

It is an interprime number because it is at equal distance from previous prime (1022332101127) and next prime (1022332101137).

It is a junction number, because it is equal to n+sod(n) for n = 1022332101099 and 1022332101108.

It is not an unprimeable number, because it can be changed into a prime (1022332101137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3351382 + ... + 3643682.

It is an arithmetic number, because the mean of its divisors is an integer number (49957919424).

Almost surely, 21022332101132 is an apocalyptic number.

1022332101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022332101132 is an abundant number, since it is smaller than the sum of its proper divisors (1375648031220).

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

1022332101132 is a wasteful number, since it uses less digits than its factorization.

1022332101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293838 (or 293836 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1022332101132 its reverse (2311012332201), we get a palindrome (3333344433333).

The spelling of 1022332101132 in words is "one trillion, twenty-two billion, three hundred thirty-two million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 223 446 669 892 1307 1338 2614 2676 3921 5228 7842 15684 291461 292301 582922 584602 874383 876903 1165844 1169204 1748766 1753806 3497532 3507612 65183123 130366246 195549369 260732492 382037407 391098738 764074814 782197476 1146112221 1528149628 2292224442 4584448884 85194341761 170388683522 255583025283 340777367044 511166050566 1022332101132