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20002100112099 = 32723237158310247
BaseRepresentation
bin1001000110001000110100…
…00100100110101011100011
32121211011220202012020212100
410203010122010212223203
510110203300112041344
6110312500554501443
74133050454463450
oct443043204465343
977734822166770
1020002100112099
116411930072376
1222b065aa34883
13b21261410911
144d216d136827
1524a479421569
hex12311a126ae3

20002100112099 has 144 divisors (see below), whose sum is σ = 35476140091392. Its totient is φ = 10629585977472.

The previous prime is 20002100112083. The next prime is 20002100112107. The reversal of 20002100112099 is 99021100120002.

It is not a de Polignac number, because 20002100112099 - 24 = 20002100112083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20002100117099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1951990594 + ... + 1952000840.

It is an arithmetic number, because the mean of its divisors is an integer number (246362083968).

Almost surely, 220002100112099 is an apocalyptic number.

20002100112099 is a deficient number, since it is larger than the sum of its proper divisors (15474039979293).

20002100112099 is a wasteful number, since it uses less digits than its factorization.

20002100112099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926 (or 11900 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 20002100112099 in words is "twenty trillion, two billion, one hundred million, one hundred twelve thousand, ninety-nine".

Divisors: 1 3 7 9 21 23 37 63 69 111 161 207 259 333 483 529 777 851 1449 1583 1587 2331 2553 3703 4749 4761 5957 7659 10247 11081 11109 14247 17871 19573 30741 33243 33327 36409 53613 58571 58719 71729 92223 99729 109227 137011 175713 176157 215187 235681 254863 327681 379139 409997 411033 527139 645561 707043 764589 837407 1137417 1229991 1233099 1347133 1649767 2121129 2293767 2512221 2653973 3412251 3689973 4041399 4949301 5420663 5861849 7536663 7961919 8720197 9429931 12124197 14847903 16221001 16261989 17585547 23885757 26160591 28289793 30984059 37944641 48663003 48785967 52756641 61041379 78481773 84869379 92952177 113547007 113833923 145989009 183124137 200564531 216888413 278856531 340641021 341501769 373083023 549372411 600177037 601693593 650665239 1021923063 1119249069 1403951717 1800531111 1805080779 1951995717 2611581161 3357747207 4201239259 4211855151 5401593333 7834743483 8580909529 12603717777 12635565453 13804071851 23504230449 25742728587 37811153331 41412215553 60066366703 77228185761 96628502957 124236646659 180199100109 289885508871 317493652573 540597300327 869656526613 952480957719 2222455568011 2857442873157 6667366704033 20002100112099