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2200101002001 = 3272196119322303
BaseRepresentation
bin100000000001000000001…
…111010001101100010001
321210022211211011222011100
4200001000033101230101
5242021301324031001
64402413515535013
7314644360646400
oct40010017215421
97708754158140
102200101002001
1177906a728311
122b648945a469
1312c612788136
14786b2143637
153c36a253586
hex200403d1b11

2200101002001 has 144 divisors (see below), whose sum is σ = 3975798627840. Its totient is φ = 1165384765440.

The previous prime is 2200101001993. The next prime is 2200101002053. The reversal of 2200101002001 is 1002001010022.

It is not a de Polignac number, because 2200101002001 - 23 = 2200101001993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2200101002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98634816 + ... + 98657118.

Almost surely, 22200101002001 is an apocalyptic number.

2200101002001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2200101002001 is a deficient number, since it is larger than the sum of its proper divisors (1775697625839).

2200101002001 is a wasteful number, since it uses less digits than its factorization.

2200101002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22596 (or 22586 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2200101002001 its reverse (1002001010022), we get a palindrome (3202102012023).

The spelling of 2200101002001 in words is "two trillion, two hundred billion, one hundred one million, two thousand, one".

Divisors: 1 3 7 9 19 21 49 57 61 63 133 147 171 183 193 399 427 441 549 579 931 1159 1197 1281 1351 1737 2793 2989 3477 3667 3843 4053 8113 8379 8967 9457 10431 11001 11773 12159 22303 24339 25669 26901 28371 33003 35319 56791 66909 73017 77007 82411 85113 105957 156121 170373 179683 200727 223687 231021 247233 423757 468363 511119 539049 576877 671061 741699 1092847 1271271 1360483 1405089 1565809 1617147 1730631 2013183 2966299 3278541 3813813 4081449 4304479 4697427 5191893 8898897 9523381 9835623 10960663 12244347 12913437 14092281 20764093 25849177 26696691 28570143 30131353 32881989 38740311 62292279 66663667 77547531 81785101 85710429 90394059 98645967 180944239 186876837 199991001 210919471 232642593 245355303 262573219 271182177 542832717 572495707 599973003 632758413 736065909 787719657 1266609673 1628498151 1717487121 1838012533 1898275239 2363158971 3799829019 4007469949 4988891161 5152461363 5514037599 11399487057 12022409847 12866087731 14966673483 16542112797 34922238127 36067229541 38598263193 44900020449 104766714381 115794789579 244455666889 314300143143 733367000667 2200101002001