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10113023210022 = 2333115773383011
BaseRepresentation
bin1001001100101001111100…
…1001111111001000100110
31022210210110222100012201000
42103022133021333020212
52311142432420210042
633301505252414130
72062433066646165
oct223123711771046
938723428305630
1010113023210022
1132499aaa57607
121173b7b017346
13584866aa51a5
1426d689a3b3dc
151280e266674c
hex9329f27f226

10113023210022 has 64 divisors (see below), whose sum is σ = 23199864145920. Its totient is φ = 3262050208800.

The previous prime is 10113023210021. The next prime is 10113023210023. The reversal of 10113023210022 is 22001232031101.

10113023210022 is a `hidden beast` number, since 10 + 11 + 302 + 321 + 0 + 0 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (10113023210021) and next prime (10113023210023).

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 = 10113023209977 and 10113023210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113023210021) by changing a digit.

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, 26212497 + ... + 26595507.

It is an arithmetic number, because the mean of its divisors is an integer number (362497877280).

Almost surely, 210113023210022 is an apocalyptic number.

10113023210022 is an abundant number, since it is smaller than the sum of its proper divisors (13086840935898).

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

10113023210022 is a wasteful number, since it uses less digits than its factorization.

10113023210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398826 (or 398820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10113023210022 its reverse (22001232031101), we get a palindrome (32114255241123).

The spelling of 10113023210022 in words is "ten trillion, one hundred thirteen billion, twenty-three million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 15773 31546 47319 94638 141957 283914 383011 425871 488963 766022 851742 977926 1149033 1466889 2298066 2933778 3447099 4400667 6894198 8801334 10341297 11873341 13202001 20682594 23746682 26404002 35620023 71240046 106860069 213720138 320580207 641160414 6041232503 12082465006 18123697509 36247395018 54371092527 108742185054 163113277581 187278207593 326226555162 374556415186 561834622779 1123669245558 1685503868337 3371007736674 5056511605011 10113023210022