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211021020002001 = 311731375651113147
BaseRepresentation
bin101111111110110000101000…
…111011111111011011010001
31000200011102010201010110211110
4233332300220323333123101
5210124332022110031001
62024445415052403533
762306523410543616
oct5776605073773321
91020142121113743
10211021020002001
116126856a536940
121b8013547765a9
1390992734ac031
143a17686b1850d
15195e21ace73d6
hexbfec28eff6d1

211021020002001 has 64 divisors (see below), whose sum is σ = 313473677239296. Its totient is φ = 125195596416000.

The previous prime is 211021020001943. The next prime is 211021020002017. The reversal of 211021020002001 is 100200020120112.

It is not a de Polignac number, because 211021020002001 - 213 = 211021019993809 is a prime.

It is a super-2 number, since 2×2110210200020012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211021020002041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1864959910 + ... + 1865073056.

It is an arithmetic number, because the mean of its divisors is an integer number (4898026206864).

Almost surely, 2211021020002001 is an apocalyptic number.

It is an amenable number.

211021020002001 is a deficient number, since it is larger than the sum of its proper divisors (102452657237295).

211021020002001 is a wasteful number, since it uses less digits than its factorization.

211021020002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119022.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211021020002001 its reverse (100200020120112), we get a palindrome (311221040122113).

The spelling of 211021020002001 in words is "two hundred eleven trillion, twenty-one billion, twenty million, two thousand, one".

Divisors: 1 3 11 33 73 137 219 411 803 1507 2409 4521 5651 10001 16953 30003 62161 110011 113147 186483 330033 339441 412523 774187 1237569 1244617 2322561 3733851 4537753 8259731 8516057 13613259 15501139 24779193 25548171 46503417 56515651 90857041 169546953 170512529 272571123 511537587 621672161 639393697 1131583147 1865016483 1918181091 3394749441 7033330667 12447414617 21099992001 37342243851 46675739881 87596936489 140027219643 262790809467 513433138691 963566301379 1540299416073 2890698904137 6394576363697 19183729091091 70340340000667 211021020002001