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902012120102222 = 223618930716377187
BaseRepresentation
bin1100110100011000000001000…
…0000000000111010101001110
311101021202111221112210121011022
43031012000100000013111032
51421212031310221232342
612514230351501354142
7360665140132520303
oct31506002000072516
94337674845717138
10902012120102222
11241455212432458
12851bbba9b68952
132c9404bb46bc0c
1411ca58960b70aa
156e43612aa09d2
hex334601000754e

902012120102222 has 128 divisors (see below), whose sum is σ = 1456932320363520. Its totient is φ = 417877071068160.

The previous prime is 902012120102221. The next prime is 902012120102239. The reversal of 902012120102222 is 222201021210209.

It is a super-2 number, since 2×9020121201022222 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 902012120102191 and 902012120102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902012120102221) 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 63 ways as a sum of consecutive naturals, for example, 125506065713 + ... + 125506072899.

It is an arithmetic number, because the mean of its divisors is an integer number (11382283752840).

Almost surely, 2902012120102222 is an apocalyptic number.

902012120102222 is a deficient number, since it is larger than the sum of its proper divisors (554920200261298).

902012120102222 is a wasteful number, since it uses less digits than its factorization.

902012120102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 902012120102222 in words is "nine hundred two trillion, twelve billion, one hundred twenty million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 23 46 61 89 122 178 307 614 1403 1637 2047 2806 3274 4094 5429 7061 7187 10858 14122 14374 18727 27323 37454 37651 54646 75302 99857 124867 145693 165301 199714 249734 291386 330602 430721 438407 502559 628429 639643 861442 876814 1005118 1256858 1279286 1666703 2206409 2296711 3333406 3350939 4412818 4593422 6701878 8887273 10083361 11558857 11765119 14711789 17774546 20166722 23117714 23530238 29423578 30656099 38334169 39018223 44727751 50747407 61312198 76668338 78036446 89455502 101494814 134590949 196370401 204407279 269181898 270597737 392740802 408814558 541195474 705090277 717672259 897419129 1028738273 1047095591 1410180554 1435344518 1794838258 2057476546 2094191182 2728392811 3095591827 3611891533 4516519223 5456785622 6191183654 7223783066 9033038446 11978594461 16506461957 23957188922 24083198593 33012923914 48166397186 62753034653 63872831051 83073505259 125506069306 127745662102 166147010518 220325383513 275507672603 321458346437 440650767026 551015345206 642916692874 1469075114173 2938150228346 5067483820799 7393541968051 10134967641598 14787083936102 19608959132657 39217918265314 451006060051111 902012120102222