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132121512543104 = 2773123772001127
BaseRepresentation
bin11110000010100111101111…
…110100101000001110000000
3122022210200201101010220022022
4132002213233310220032000
5114304134324202334404
61144555441314301012
736554315150610560
oct3602475764501600
9568720641126268
10132121512543104
1139109467480157
121299a04b287768
13589500b498126
14248aa02c00da0
151041bb52028be
hex7829efd28380

132121512543104 has 128 divisors (see below), whose sum is σ = 310646786027520. Its totient is φ = 54773860331520.

The previous prime is 132121512543101. The next prime is 132121512543217. The reversal of 132121512543104 is 401345215121231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121512543101) 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, 65022989 + ... + 67024115.

It is an arithmetic number, because the mean of its divisors is an integer number (2426928015840).

Almost surely, 2132121512543104 is an apocalyptic number.

132121512543104 is a gapful number since it is divisible by the number (14) 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 132121512543104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155323393013760).

132121512543104 is an abundant number, since it is smaller than the sum of its proper divisors (178525273484416).

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

132121512543104 is a wasteful number, since it uses less digits than its factorization.

132121512543104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003556 (or 2003544 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 132121512543104 its reverse (401345215121231), we get a palindrome (533466727664335).

The spelling of 132121512543104 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, five hundred twelve million, five hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 2377 3472 3968 4754 6944 9508 13888 16639 19016 27776 33278 38032 66556 73687 76064 133112 147374 152128 266224 294748 304256 515809 532448 589496 1031618 1064896 1178992 2001127 2063236 2129792 2357984 4002254 4126472 4715968 8004508 8252944 9431936 14007889 16009016 16505888 28015778 32018032 33011776 56031556 62034937 64036064 66023552 112063112 124069874 128072128 224126224 248139748 256144256 434244559 448252448 496279496 868489118 896504896 992558992 1736978236 1793009792 1985117984 3473956472 3970235968 4756678879 6947912944 7940471936 9513357758 13895825888 19026715516 27791651776 33296752153 38053431032 55583303552 66593504306 76106862064 133187008612 147457045249 152213724128 266374017224 294914090498 304427448256 532748034448 589828180996 608854896512 1032199316743 1065496068896 1179656361992 2064398633486 2130992137792 2359312723984 4128797266972 4261984275584 4718625447968 8257594533944 9437250895936 16515189067888 18874501791872 33030378135776 66060756271552 132121512543104