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2132123532 = 22371119121447
BaseRepresentation
bin111111100010101…
…1001111110001100
312111120222002122020
41333011121332030
513331310423112
6551322450140
7103556515410
oct17705317614
95446862566
102132123532
119a4589a70
124b6063950
1327c957576
1416324cd40
15c72b048c
hex7f159f8c

2132123532 has 96 divisors (see below), whose sum is σ = 6529044480. Its totient is φ = 524646720.

The previous prime is 2132123519. The next prime is 2132123537. The reversal of 2132123532 is 2353212312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2132123537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43168 + ... + 78279.

It is an arithmetic number, because the mean of its divisors is an integer number (68010880).

Almost surely, 22132123532 is an apocalyptic number.

2132123532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2132123532 is an abundant number, since it is smaller than the sum of its proper divisors (4396920948).

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

2132123532 is a wasteful number, since it uses less digits than its factorization.

2132123532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121491 (or 121489 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 2132123532 is about 46174.9231943054. The cubic root of 2132123532 is about 1287.0757896382.

Adding to 2132123532 its reverse (2353212312), we get a palindrome (4485335844).

The spelling of 2132123532 in words is "two billion, one hundred thirty-two million, one hundred twenty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 121447 242894 364341 485788 728682 850129 1335917 1457364 1700258 2307493 2550387 2671834 3400516 4007751 4614986 5100774 5343668 6922479 8015502 9229972 9351419 10201548 13844958 16031004 16152451 18702838 25382423 27689916 28054257 32304902 37405676 48457353 50764846 56108514 64609804 76147269 96914706 101529692 112217028 152294538 177676961 193829412 304589076 355353922 533030883 710707844 1066061766 2132123532