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11331201101022 = 23211313749893887
BaseRepresentation
bin1010010011100100000000…
…1101110110110011011110
31111010020210212221212021200
42210321000031312303132
52441122244440213042
640033252032340330
72246436504120045
oct244710015666336
944106725855250
1011331201101022
113679598688210
1213300903a46a6
136426b24063ca
142b260c45b55c
15149b3d148c4c
hexa4e40376cde

11331201101022 has 96 divisors (see below), whose sum is σ = 28394012934144. Its totient is φ = 3233123812800.

The previous prime is 11331201100957. The next prime is 11331201101081. The reversal of 11331201101022 is 22010110213311.

11331201101022 is a `hidden beast` number, since 11 + 331 + 201 + 101 + 0 + 22 = 666.

11331201101022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113312011010222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11331201100986 and 11331201101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24719838 + ... + 25174049.

It is an arithmetic number, because the mean of its divisors is an integer number (295770968064).

Almost surely, 211331201101022 is an apocalyptic number.

11331201101022 is an abundant number, since it is smaller than the sum of its proper divisors (17062811833122).

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

11331201101022 is a wasteful number, since it uses less digits than its factorization.

11331201101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49893974 (or 49893971 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11331201101022 its reverse (22010110213311), we get a palindrome (33341311314333).

The spelling of 11331201101022 in words is "eleven trillion, three hundred thirty-one billion, two hundred one million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 37 62 66 74 93 99 111 186 198 222 279 333 341 407 558 666 682 814 1023 1147 1221 2046 2294 2442 3069 3441 3663 6138 6882 7326 10323 12617 20646 25234 37851 75702 113553 227106 49893887 99787774 149681661 299363322 449044983 548832757 898089966 1097665514 1546710497 1646498271 1846073819 3093420994 3292996542 3692147638 4640131491 4939494813 5538221457 9280262982 9878989626 11076442914 13920394473 16614664371 17013815467 20306812009 27840788946 33229328742 34027630934 40613624018 51041446401 57228288389 60920436027 102082892802 114456576778 121840872054 153124339203 171684865167 182761308081 306248678406 343369730334 365522616162 515054595501 629511172279 1030109191002 1259022344558 1888533516837 3777067033674 5665600550511 11331201101022