Search a number
-
+
101211220210122 = 236116310713319
BaseRepresentation
bin10111000000110100010010…
…110100111111000111001010
3111021100200211221211101000000
4113000310102310333013022
5101231221034333210442
6555131443115223430
730214161250101201
oct2700642264770712
9437320757741000
10101211220210122
112a28148a2681a0
12b4274b4a47b76
13446223c16a529
141adc913570238
15ba7b09546d4c
hex5c0d12d3f1ca

101211220210122 has 56 divisors (see below), whose sum is σ = 248313947715360. Its totient is φ = 30670066725480.

The previous prime is 101211220210103. The next prime is 101211220210343. The reversal of 101211220210122 is 221012022112101.

101211220210122 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 220 + 210 + 1 + 22 = 666.

It is a super-2 number, since 2×1012112202101222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101211220210095 and 101211220210104.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 3155340622 + ... + 3155372697.

Almost surely, 2101211220210122 is an apocalyptic number.

101211220210122 is an abundant number, since it is smaller than the sum of its proper divisors (147102727505238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101211220210122 is an equidigital number, since it uses as much as digits as its factorization.

101211220210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310713350 (or 6310713335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101211220210122 its reverse (221012022112101), we get a palindrome (322223242322223).

The spelling of 101211220210122 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 8019 16038 6310713319 12621426638 18932139957 37864279914 56796419871 69417846509 113592839742 138835693018 170389259613 208253539527 340778519226 416507079054 511167778839 624760618581 1022335557678 1249521237162 1533503336517 1874281855743 3067006673034 3748563711486 4600510009551 5622845567229 9201020019102 11245691134458 16868536701687 33737073403374 50605610105061 101211220210122