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10022130515000 = 235423101862861
BaseRepresentation
bin1001000111010111010110…
…0001110111110000111000
31022111002212111200220020002
42101311311201313300320
52303200310402440000
633152034142452132
72053034510540222
oct221656541676070
938432774626202
1010022130515000
1132143a844353a
12115a433294048
13579110046506
14269106365412
15125a72c528d5
hex91d75877c38

10022130515000 has 160 divisors (see below), whose sum is σ = 24745432551840. Its totient is φ = 3796584000000.

The previous prime is 10022130514967. The next prime is 10022130515053. The reversal of 10022130515000 is 51503122001.

It is a happy number.

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

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 39 ways as a sum of consecutive naturals, for example, 11183570 + ... + 12046430.

It is an arithmetic number, because the mean of its divisors is an integer number (154658953449).

Almost surely, 210022130515000 is an apocalyptic number.

10022130515000 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 10022130515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372716275920).

10022130515000 is an abundant number, since it is smaller than the sum of its proper divisors (14723302036840).

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

10022130515000 is a wasteful number, since it uses less digits than its factorization.

10022130515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863011 (or 862992 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 10022130515000 its reverse (51503122001), we get a palindrome (10073633637001).

The spelling of 10022130515000 in words is "ten trillion, twenty-two billion, one hundred thirty million, five hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 101 115 125 184 200 202 230 250 404 460 500 505 575 625 808 920 1000 1010 1150 1250 2020 2300 2323 2500 2525 2875 4040 4600 4646 5000 5050 5750 9292 10100 11500 11615 12625 14375 18584 20200 23000 23230 25250 28750 46460 50500 57500 58075 63125 92920 101000 115000 116150 126250 232300 252500 290375 464600 505000 580750 862861 1161500 1451875 1725722 2323000 2903750 3451444 4314305 5807500 6902888 8628610 11615000 17257220 19845803 21571525 34514440 39691606 43143050 79383212 86286100 87148961 99229015 107857625 158766424 172572200 174297922 198458030 215715250 348595844 396916060 431430500 435744805 496145075 539288125 697191688 793832120 862861000 871489610 992290150 1078576250 1742979220 1984580300 2004426103 2157152500 2178724025 2480725375 3485958440 3969160600 4008852206 4314305000 4357448050 4961450750 8017704412 8714896100 9922901500 10022130515 10893620125 12403626875 16035408824 17429792200 19845803000 20044261030 21787240250 24807253750 40088522060 43574480500 49614507500 50110652575 54468100625 80177044120 87148961000 99229015000 100221305150 108936201250 200442610300 217872402500 250553262875 400885220600 435744805000 501106525750 1002213051500 1252766314375 2004426103000 2505532628750 5011065257500 10022130515000