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101022331111020 = 223251151021379349
BaseRepresentation
bin10110111110000100011000…
…001010010000011001101100
3111020200122021221122221011200
4112332010120022100121230
5101220122213231023040
6554505003534245500
730164423353203234
oct2676043012203154
9436618257587150
10101022331111020
112a20936a2a1320
12b3b697a356890
13444a498a35137
141ad3714d8acc4
15ba2c5176b630
hex5be11829066c

101022331111020 has 72 divisors (see below), whose sum is σ = 334292077501200. Its totient is φ = 24490262087040.

The previous prime is 101022331111007. The next prime is 101022331111043. The reversal of 101022331111020 is 20111133220101.

101022331111020 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 223 + 311 + 110 + 20 = 666.

It is a super-2 number, since 2×1010223311110202 (a number of 29 digits) contains 22 as substring.

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 = 101022331110984 and 101022331111002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25510687695 + ... + 25510691654.

It is an arithmetic number, because the mean of its divisors is an integer number (4642945520850).

Almost surely, 2101022331111020 is an apocalyptic number.

101022331111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022331111020 is an abundant number, since it is smaller than the sum of its proper divisors (233269746390180).

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

101022331111020 is a wasteful number, since it uses less digits than its factorization.

101022331111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51021379375 (or 51021379370 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101022331111020 its reverse (20111133220101), we get a palindrome (121133464331121).

The spelling of 101022331111020 in words is "one hundred one trillion, twenty-two billion, three hundred thirty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 51021379349 102042758698 153064138047 204085517396 255106896745 306128276094 459192414141 510213793490 561235172839 612256552188 765320690235 918384828282 1020427586980 1122470345678 1530641380470 1683705518517 1836769656564 2244940691356 2295962070705 2806175864195 3061282760940 3367411037034 4591924141410 5051116555551 5612351728390 6734822074068 8418527592585 9183848282820 10102233111102 11224703456780 16837055185170 20204466222204 25255582777755 33674110370340 50511165555510 101022331111020