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2122430310132 = 22311194139204461
BaseRepresentation
bin11110111000101010101…
…101000110011011110100
321111220100211002000012220
4132320222231012123310
5234233214124411012
64303010411242340
7306224541653526
oct36705255063364
97456324060186
102122430310132
1174913263a980
122a34117493b0
131251b50ba572
1474a248a5a16
153a3214e508c
hex1ee2ab466f4

2122430310132 has 96 divisors (see below), whose sum is σ = 5688296409600. Its totient is φ = 609159945600.

The previous prime is 2122430310097. The next prime is 2122430310157. The reversal of 2122430310132 is 2310130342212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10278382 + ... + 10482842.

It is an arithmetic number, because the mean of its divisors is an integer number (59253087600).

Almost surely, 22122430310132 is an apocalyptic number.

2122430310132 is a gapful number since it is divisible by the number (22) 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 2122430310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844148204800).

2122430310132 is an abundant number, since it is smaller than the sum of its proper divisors (3565866099468).

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

2122430310132 is a wasteful number, since it uses less digits than its factorization.

2122430310132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208637 (or 208635 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2122430310132 its reverse (2310130342212), we get a palindrome (4432560652344).

The spelling of 2122430310132 in words is "two trillion, one hundred twenty-two billion, four hundred thirty million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 4139 8278 12417 16556 24834 45529 49668 78641 91058 136587 157282 182116 204461 235923 273174 314564 408922 471846 546348 613383 817844 865051 943692 1226766 1730102 2249071 2453532 2595153 3460204 3884759 4498142 5190306 6747213 7769518 8996284 10380612 11654277 13494426 15539036 23308554 26988852 42732349 46617108 85464698 128197047 170929396 256394094 512788188 846264079 1692528158 2538792237 3385056316 5077584474 9308904869 10155168948 16079017501 18617809738 27926714607 32158035002 37235619476 48237052503 55853429214 64316070004 96474105006 111706858428 176869192511 192948210012 353738385022 530607577533 707476770044 1061215155066 2122430310132