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2125154353320 = 2332533349177013
BaseRepresentation
bin11110111011001101000…
…100100000000010101000
321112011101122211201222100
4132323031010200002220
5234304304003301240
64304141001053400
7306352206645435
oct36731504400250
97464348751870
102125154353320
1174a300258939
122a3a51a87260
1312552a57183b
1474c02596b8c
153a430728e30
hex1eecd1200a8

2125154353320 has 96 divisors (see below), whose sum is σ = 6906997773000. Its totient is φ = 566687632896.

The previous prime is 2125154353307. The next prime is 2125154353363. The reversal of 2125154353320 is 233534515212.

2125154353320 is a `hidden beast` number, since 2 + 1 + 2 + 51 + 54 + 3 + 533 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1555512828804 + 569641524516 = 1247202^2 + 754746^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 11917134 + ... + 12094146.

Almost surely, 22125154353320 is an apocalyptic number.

2125154353320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125154353320 is an abundant number, since it is smaller than the sum of its proper divisors (4781843419680).

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

2125154353320 is a wasteful number, since it uses less digits than its factorization.

2125154353320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210379 (or 210372 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 2125154353320 its reverse (233534515212), we get a palindrome (2358688868532).

The spelling of 2125154353320 in words is "two trillion, one hundred twenty-five billion, one hundred fifty-four million, three hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33349 66698 100047 133396 166745 177013 200094 266792 300141 333490 354026 400188 500235 531039 600282 666980 708052 800376 885065 1000470 1062078 1200564 1333960 1416104 1500705 1593117 1770130 2000940 2124156 2401128 2655195 3001410 3186234 3540260 4001880 4248312 5310390 6002820 6372468 7080520 7965585 10620780 12005640 12744936 15931170 21241560 31862340 63724680 5903206537 11806413074 17709619611 23612826148 29516032685 35419239222 47225652296 53128858833 59032065370 70838478444 88548098055 106257717666 118064130740 141676956888 177096196110 212515435332 236128261480 265644294165 354192392220 425030870664 531288588330 708384784440 1062577176660 2125154353320