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132402014021000 = 2353678212407003
BaseRepresentation
bin11110000110101100111111…
…000000110110010110001000
3122100210111202000011101011002
4132012230333000312112020
5114323233311042133000
61145332351234354132
736613505223050063
oct3606547700662610
9570714660141132
10132402014021000
1139207419224179
1212a2449272b948
1358b55c17a0a99
14249a4124b98da
151049130ba18d5
hex786b3f036588

132402014021000 has 128 divisors (see below), whose sum is σ = 314828035666560. Its totient is φ = 52106779296000.

The previous prime is 132402014020999. The next prime is 132402014021047. The reversal of 132402014021000 is 120410204231.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 53803499 + ... + 56210501.

It is an arithmetic number, because the mean of its divisors is an integer number (2459594028645).

Almost surely, 2132402014021000 is an apocalyptic number.

132402014021000 is a gapful number since it is divisible by the number (10) 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 132402014021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157414017833280).

132402014021000 is an abundant number, since it is smaller than the sum of its proper divisors (182426021645560).

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

132402014021000 is a wasteful number, since it uses less digits than its factorization.

132402014021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407912 (or 2407898 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 132402014021000 its reverse (120410204231), we get a palindrome (132522424225231).

The spelling of 132402014021000 in words is "one hundred thirty-two trillion, four hundred two billion, fourteen million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 821 1000 1340 1642 1675 2680 3284 3350 4105 6568 6700 8210 8375 13400 16420 16750 20525 32840 33500 41050 55007 67000 82100 102625 110014 164200 205250 220028 275035 410500 440056 550070 821000 1100140 1375175 2200280 2407003 2750350 4814006 5500700 6875875 9628012 11001400 12035015 13751750 19256024 24070030 27503500 48140060 55007000 60175075 96280120 120350150 161269201 240700300 300875375 322538402 481400600 601750750 645076804 806346005 1203501500 1290153608 1612692010 1976149463 2407003000 3225384020 3952298926 4031730025 6450768040 7904597852 8063460050 9880747315 15809195704 16126920100 19761494630 20158650125 32253840200 39522989260 40317300250 49403736575 79045978520 80634600500 98807473150 132402014021 161269201000 197614946300 247018682875 264804028042 395229892600 494037365750 529608056084 662010070105 988074731500 1059216112168 1324020140210 1976149463000 2648040280420 3310050350525 5296080560840 6620100701050 13240201402100 16550251752625 26480402804200 33100503505250 66201007010500 132402014021000