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106222468258620 = 2234579367060693
BaseRepresentation
bin11000001001101111011000…
…011111001101101100111100
3111221002202202110010120020000
4120021233120133031230330
5102410322103333233440
61013525532300354300
731242214533512550
oct3011573037155474
9457082673116200
10106222468258620
1130933772132aaa
12bab6761845990
13473697466749c
141c332a2b15860
15c431544a3730
hex609bd87cdb3c

106222468258620 has 120 divisors (see below), whose sum is σ = 380827219575264. Its totient is φ = 24279421313664.

The previous prime is 106222468258609. The next prime is 106222468258633. The reversal of 106222468258620 is 26852864222601.

106222468258620 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 2 + 2 + 4 + 6 + 8 + 2 + 5 + 8 + 620 = 666.

It is a super-2 number, since 2×1062224682586202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4683519007 + ... + 4683541686.

Almost surely, 2106222468258620 is an apocalyptic number.

106222468258620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106222468258620 is an abundant number, since it is smaller than the sum of its proper divisors (274604751316644).

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

106222468258620 is a wasteful number, since it uses less digits than its factorization.

106222468258620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9367060721 (or 9367060710 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 106222468258620 in words is "one hundred six trillion, two hundred twenty-two billion, four hundred sixty-eight million, two hundred fifty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 9367060693 18734121386 28101182079 37468242772 46835303465 56202364158 65569424851 84303546237 93670606930 112404728316 131138849702 140505910395 168607092474 187341213860 196708274553 252910638711 262277699404 281011820790 327847124255 337214184948 393416549106 421517731185 505821277422 562023641580 590124823659 655694248510 758731916133 786833098212 843035462370 983541372765 1011642554844 1180249647318 1264553193555 1311388497020 1517463832266 1686070924740 1770374470977 1967082745530 2360499294636 2529106387110 2950624118295 3034927664532 3540748941954 3793659580665 3934165491060 5058212774220 5311123412931 5901248236590 7081497883908 7587319161330 8851872354885 10622246825862 11802496473180 15174638322660 17703744709770 21244493651724 26555617064655 35407489419540 53111234129310 106222468258620