Search a number
-
+
20133101131122 = 23719124351202889
BaseRepresentation
bin1001001001111100110100…
…10101110101010101110010
32122021201001102201112102210
410210332122111311111302
510114330042342143442
6110453004033152550
74145366004664560
oct444763225652562
978251042645383
1020133101131122
1164624447a0951
122311b1a9bb756
13b3070a7bb3a5
144d8639536a30
1524da950b819c
hex124f9a575572

20133101131122 has 64 divisors (see below), whose sum is σ = 48441172377600. Its totient is φ = 5449490524800.

The previous prime is 20133101131097. The next prime is 20133101131123. The reversal of 20133101131122 is 22113110133102.

It is a super-2 number, since 2×201331011311222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20133101131123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99130654 + ... + 99333542.

It is an arithmetic number, because the mean of its divisors is an integer number (756893318400).

Almost surely, 220133101131122 is an apocalyptic number.

20133101131122 is an abundant number, since it is smaller than the sum of its proper divisors (28308071246478).

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

20133101131122 is a wasteful number, since it uses less digits than its factorization.

20133101131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327271.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 20133101131122 its reverse (22113110133102), we get a palindrome (42246211264224).

The spelling of 20133101131122 in words is "twenty trillion, one hundred thirty-three billion, one hundred one million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 124351 202889 248702 373053 405778 608667 746106 870457 1217334 1420223 1740914 2362669 2611371 2840446 3854891 4260669 4725338 5222742 7088007 7709782 8521338 11564673 14176014 16538683 23129346 26984237 33077366 49616049 53968474 80952711 99232098 161905422 25229450039 50458900078 75688350117 151376700234 176606150273 353212300546 479359550741 529818450819 958719101482 1059636901638 1438078652223 2876157304446 3355516855187 6711033710374 10066550565561 20133101131122