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31010101122 = 237111319132699
BaseRepresentation
bin11100111000010110…
…001001011110000010
32222001010222100121210
4130320112021132002
51002002041213442
622125034030550
72145313340040
oct347026113602
988033870553
1031010101122
1112173436a50
126015278456
132c0272ab80
141702665390
15c1765319c
hex738589782

31010101122 has 128 divisors (see below), whose sum is σ = 83346278400. Its totient is φ = 7428349440.

The previous prime is 31010101079. The next prime is 31010101127. The reversal of 31010101122 is 22110101013.

It is a junction number, because it is equal to n+sod(n) for n = 31010101098 and 31010101107.

It is not an unprimeable number, because it can be changed into a prime (31010101127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11488129 + ... + 11490827.

It is an arithmetic number, because the mean of its divisors is an integer number (651142800).

Almost surely, 231010101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31010101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41673139200).

31010101122 is an abundant number, since it is smaller than the sum of its proper divisors (52336177278).

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

31010101122 is a wasteful number, since it uses less digits than its factorization.

31010101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 31010101122 its reverse (22110101013), we get a palindrome (53120202135).

The spelling of 31010101122 in words is "thirty-one billion, ten million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1913 2002 2699 3003 3826 5398 5739 6006 8097 11478 13391 16194 18893 21043 24869 26782 29689 35087 37786 40173 42086 49738 56679 59378 63129 70174 74607 80346 89067 105261 113358 126258 147301 149214 174083 178134 207823 210522 245609 273559 294602 348166 385957 415646 441903 491218 522249 547118 623469 736827 771914 820677 883806 1044498 1157871 1246938 1473654 1641354 1914913 2315742 2701699 3829826 5163187 5403398 5744739 8105097 10326374 11489478 15489561 16210194 30979122 36142309 56795057 67121431 72284618 108426927 113590114 134242862 170385171 201364293 216853854 340770342 397565399 402728586 469850017 738335741 795130798 939700034 1192696197 1409550051 1476671482 2215007223 2385392394 2819100102 4430014446 5168350187 10336700374 15505050561 31010101122