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2122102032 = 2431132391637
BaseRepresentation
bin111111001111100…
…1011010100010000
312110220002221201120
41332133023110100
513321224231112
6550324002240
7103405366251
oct17637132420
95426087646
102122102032
11999964736
124b2830380
1327a858c9b
14161ba0b28
15c6480e8c
hex7e7cb510

2122102032 has 80 divisors (see below), whose sum is σ = 5557144320. Its totient is φ = 697747456.

The previous prime is 2122102007. The next prime is 2122102049. The reversal of 2122102032 is 2302012212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1295518 + ... + 1297154.

It is an arithmetic number, because the mean of its divisors is an integer number (69464304).

Almost surely, 22122102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

2122102032 is an abundant number, since it is smaller than the sum of its proper divisors (3435042288).

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

2122102032 is a wasteful number, since it uses less digits than its factorization.

2122102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2122102032 is about 46066.2786862581. The cubic root of 2122102032 is about 1285.0560987283.

Adding to 2122102032 its reverse (2302012212), we get a palindrome (4424114244).

The spelling of 2122102032 in words is "two billion, one hundred twenty-two million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 239 339 452 478 678 717 904 956 1356 1434 1637 1808 1912 2712 2868 3274 3824 4911 5424 5736 6548 9822 11472 13096 19644 26192 27007 39288 54014 78576 81021 108028 162042 184981 216056 324084 369962 391243 432112 554943 648168 739924 782486 1109886 1173729 1296336 1479848 1564972 2219772 2347458 2959696 3129944 4439544 4694916 6259888 8879088 9389832 18779664 44210459 88420918 132631377 176841836 265262754 353683672 530525508 707367344 1061051016 2122102032