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2132011202000 = 24531553686417
BaseRepresentation
bin11111000001100101110…
…001010011010111010000
321112211002112012202001212
4133001211301103113100
5234412324331431000
64311233223115252
7310014140131061
oct37014561232720
97484075182055
102132011202000
117521a9818829
122a52462a2b28
13126081005c54
14752930cc568
153a6d26b7c35
hex1f065c535d0

2132011202000 has 80 divisors (see below), whose sum is σ = 5158530114192. Its totient is φ = 852254105600.

The previous prime is 2132011201909. The next prime is 2132011202029. The reversal of 2132011202000 is 2021102312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1622118093376 + 509893108624 = 1273624^2 + 714068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2762792 + ... + 3449208.

Almost surely, 22132011202000 is an apocalyptic number.

2132011202000 is a gapful number since it is divisible by the number (20) 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 2132011202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579265057096).

2132011202000 is an abundant number, since it is smaller than the sum of its proper divisors (3026518912192).

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

2132011202000 is a wasteful number, since it uses less digits than its factorization.

2132011202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687993 (or 687977 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2132011202000 its reverse (2021102312), we get a palindrome (2134032304312).

The spelling of 2132011202000 in words is "two trillion, one hundred thirty-two billion, eleven million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1553 2000 3106 6212 7765 12424 15530 24848 31060 38825 62120 77650 124240 155300 194125 310600 388250 621200 686417 776500 1372834 1553000 2745668 3106000 3432085 5491336 6864170 10982672 13728340 17160425 27456680 34320850 54913360 68641700 85802125 137283400 171604250 274566800 343208500 686417000 1066005601 1372834000 2132011202 4264022404 5330028005 8528044808 10660056010 17056089616 21320112020 26650140025 42640224040 53300280050 85280448080 106600560100 133250700125 213201120200 266501400250 426402240400 533002800500 1066005601000 2132011202000