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101130233022 = 23371341949117
BaseRepresentation
bin101111000101111010…
…1001110010010111110
3100200000221101010111000
41132023311032102332
53124103314424042
6114243015511130
710210046540340
oct1361365162276
9320027333430
10101130233022
113998641a985
12177243884a6
1396c8a17490
144c751cd290
15296d59374c
hex178bd4e4be

101130233022 has 128 divisors (see below), whose sum is σ = 277261286400. Its totient is φ = 26607512448.

The previous prime is 101130233003. The next prime is 101130233023. The reversal of 101130233022 is 220332031101.

101130233022 is a `hidden beast` number, since 1 + 0 + 11 + 302 + 330 + 22 = 666.

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 = 101130232986 and 101130233004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101130233023) 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, 2034408 + ... + 2083524.

It is an arithmetic number, because the mean of its divisors is an integer number (2166103800).

Almost surely, 2101130233022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101130233022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138630643200).

101130233022 is an abundant number, since it is smaller than the sum of its proper divisors (176131053378).

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

101130233022 is a wasteful number, since it uses less digits than its factorization.

101130233022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49567 (or 49561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101130233022 its reverse (220332031101), we get a palindrome (321462264123).

The spelling of 101130233022 in words is "one hundred one billion, one hundred thirty million, two hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 419 546 702 819 838 1257 1638 2457 2514 2933 3771 4914 5447 5866 7542 8799 10894 11313 16341 17598 22626 26397 32682 38129 49023 49117 52794 76258 79191 98046 98234 114387 147069 147351 158382 228774 294138 294702 343161 343819 442053 638521 686322 687638 884106 1029483 1031457 1277042 1326159 1915563 2058966 2062914 2652318 3094371 3831126 4469647 5746689 6188742 8939294 9283113 11493378 13408941 17240067 18566226 20580023 26817882 34480134 40226823 41160046 61740069 80453646 120680469 123480138 144060161 185220207 241360938 267540299 288120322 370440414 432180483 535080598 555660621 802620897 864360966 1111321242 1296541449 1605241794 1872782093 2407862691 2593082898 3745564186 3889624347 4815725382 5618346279 7223588073 7779248694 11236692558 14447176146 16855038837 33710077674 50565116511 101130233022