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211220002120101 = 31329317589132763
BaseRepresentation
bin110000000001101001111101…
…001100100010000110100101
31000200212102202010002101212020
4300001221331030202012211
5210141112031020320401
62025121043542013353
762330066361622122
oct6001517514420645
91020772663071766
10211220002120101
1161334999780327
121b833a27417259
1390b1c6496ca10
143a23161955749
1519644b4c06d36
hexc01a7d3221a5

211220002120101 has 32 divisors (see below), whose sum is σ = 314738287839360. Its totient is φ = 125103520276224.

The previous prime is 211220002120079. The next prime is 211220002120133. The reversal of 211220002120101 is 101021200022112.

It is not a de Polignac number, because 211220002120101 - 25 = 211220002120069 is a prime.

It is a super-2 number, since 2×2112200021201012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220002120181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294207855 + ... + 294924908.

It is an arithmetic number, because the mean of its divisors is an integer number (9835571494980).

Almost surely, 2211220002120101 is an apocalyptic number.

It is an amenable number.

211220002120101 is a deficient number, since it is larger than the sum of its proper divisors (103518285719259).

211220002120101 is a wasteful number, since it uses less digits than its factorization.

211220002120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589133125.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211220002120101 its reverse (101021200022112), we get a palindrome (312241202142213).

The spelling of 211220002120101 in words is "two hundred eleven trillion, two hundred twenty billion, two million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 13 29 39 87 317 377 951 1131 4121 9193 12363 27579 119509 358527 589132763 1767398289 7658725919 17084850127 22976177757 51254550381 186755085871 222103051651 560265257613 666309154953 2427816116323 5415897490259 7283448348969 16247692470777 70406667373367 211220002120101