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110002021110201 = 31123746729715903
BaseRepresentation
bin11001000000101111010111…
…011001001001000110111001
3112102111002102222121211002110
4121000233113121021012321
5103404233114401011301
61025542121511122533
732112245425623243
oct3100572731110671
9472432388554073
10110002021110201
1132060660196200
1210407166373449
13494c1b8c2a35c
141d241aa533093
15cab611d950d6
hex640bd76491b9

110002021110201 has 96 divisors (see below), whose sum is σ = 166010759276544. Its totient is φ = 64694409436800.

The previous prime is 110002021110197. The next prime is 110002021110217. The reversal of 110002021110201 is 102011120200011.

It is not a de Polignac number, because 110002021110201 - 22 = 110002021110197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110002021110271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18634932016 + ... + 18634937918.

It is an arithmetic number, because the mean of its divisors is an integer number (1729278742464).

Almost surely, 2110002021110201 is an apocalyptic number.

110002021110201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110002021110201 is a deficient number, since it is larger than the sum of its proper divisors (56008738166343).

110002021110201 is a wasteful number, since it uses less digits than its factorization.

110002021110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403 (or 9392 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110002021110201 its reverse (102011120200011), we get a palindrome (212013141310212).

The spelling of 110002021110201 in words is "one hundred ten trillion, two billion, twenty-one million, one hundred ten thousand, two hundred one".

Divisors: 1 3 11 33 37 111 121 363 407 467 1221 1401 2971 4477 5137 5903 8913 13431 15411 17279 17709 32681 51837 56507 64933 98043 109927 169521 190069 194799 218411 329781 359491 570207 655233 714263 1078473 1209197 1387457 2090759 2142789 2402521 2756701 3627591 4162371 6272277 7207563 8270103 13301167 15262027 17537813 26427731 30323711 39903501 45786081 51335909 52613439 79283193 90971133 101997937 154007727 167882297 192915943 305993811 333560821 503646891 564694999 578747829 648899081 1000682463 1121977307 1694084997 1946697243 2122075373 3365931921 6211644989 6366226119 7137889891 8190158671 12341750377 18634934967 21413669673 24570476013 37025251131 78516788801 90091745381 235550366403 270275236143 303035870827 909107612481 991009199191 2973027597573 3333394579097 10000183737291 36667340370067 110002021110201