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212110022111001 = 37210718237397303
BaseRepresentation
bin110000001110100110110110…
…100001010110111100011001
31000211000112001010201111022220
4300032212312201112330121
5210300202311130023001
62031041555435134253
762451305040001200
oct6016466641267431
91024015033644286
10212110022111001
116164839a86a613
121b9584152a4389
139147b7391a8a1
143a54273700237
15197c705ec3c36
hexc0e9b6856f19

212110022111001 has 48 divisors (see below), whose sum is σ = 332243813781504. Its totient is φ = 120007081308576.

The previous prime is 212110022110991. The next prime is 212110022111101. The reversal of 212110022111001 is 100111220011212.

It is a happy number.

212110022111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212110022111001 - 29 = 212110022110489 is a prime.

It is a super-2 number, since 2×2121100221110012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212110022111101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24975316 + ... + 32372618.

It is an arithmetic number, because the mean of its divisors is an integer number (6921746120448).

Almost surely, 2212110022111001 is an apocalyptic number.

212110022111001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212110022111001 is a deficient number, since it is larger than the sum of its proper divisors (120133791670503).

212110022111001 is a wasteful number, since it uses less digits than its factorization.

212110022111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399250 (or 7399243 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212110022111001 its reverse (100111220011212), we get a palindrome (312221242122213).

The spelling of 212110022111001 in words is "two hundred twelve trillion, one hundred ten billion, twenty-two million, one hundred eleven thousand, one".

Divisors: 1 3 7 21 49 107 147 321 749 1823 2247 5243 5469 12761 15729 38283 89327 195061 267981 585183 1365427 4096281 7397303 9557989 22191909 28673967 51781121 155343363 362467847 791511421 1087403541 2374534263 5540579947 13485283369 16621739841 38784059629 40455850107 94396983583 116352178887 283190950749 660778885081 1442925320483 1982336655243 4328775961449 10100477243381 30301431730143 70703340703667 212110022111001