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101112021042 = 231912734920011
BaseRepresentation
bin101111000101010111…
…1110000000000110010
3100122222200002212100020
41132022233300000302
53124034134133132
6114241125304310
710206435666234
oct1361257600062
9318880085306
10101112021042
1139977110a5a
121771a265096
1396c500bb66
144c72a0c254
15296bb9752c
hex178abf0032

101112021042 has 64 divisors (see below), whose sum is σ = 215169024000. Its totient is φ = 31586345280.

The previous prime is 101112021041. The next prime is 101112021077. The reversal of 101112021042 is 240120211101.

It is not an unprimeable number, because it can be changed into a prime (101112021041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5042817 + ... + 5062827.

It is an arithmetic number, because the mean of its divisors is an integer number (3362016000).

Almost surely, 2101112021042 is an apocalyptic number.

101112021042 is an abundant number, since it is smaller than the sum of its proper divisors (114057002958).

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

101112021042 is a wasteful number, since it uses less digits than its factorization.

101112021042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20511.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101112021042 its reverse (240120211101), we get a palindrome (341232232143).

The spelling of 101112021042 in words is "one hundred one billion, one hundred twelve million, twenty-one thousand, forty-two".

Divisors: 1 2 3 6 19 38 57 114 127 254 349 381 698 762 1047 2094 2413 4826 6631 7239 13262 14478 19893 20011 39786 40022 44323 60033 88646 120066 132969 265938 380209 760418 842137 1140627 1684274 2281254 2526411 2541397 5052822 5082794 6983839 7624191 13967678 15248382 20951517 41903034 48286543 96573086 132692941 144859629 265385882 289719258 398078823 796157646 886947553 1773895106 2660842659 5321685318 16852003507 33704007014 50556010521 101112021042