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106056111049999 = 11176789132171999
BaseRepresentation
bin11000000111010100011100…
…110100110100110100001111
3111220111212100201200202102221
4120013110130310310310033
5102400110403412044444
61013321301012200211
731224205204541455
oct3007243464646417
9456455321622387
10106056111049999
113087a1648a0a20
12ba8a475009067
134724082323776
141c29200baa9d5
15c3db6986da84
hex60751cd34d0f

106056111049999 has 64 divisors (see below), whose sum is σ = 125825633280000. Its totient is φ = 88316317900800.

The previous prime is 106056111049957. The next prime is 106056111050161. The reversal of 106056111049999 is 999940111650601.

It is not a de Polignac number, because 106056111049999 - 29 = 106056111049487 is a prime.

It is a super-2 number, since 2×1060561110499992 (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 (106056111149999) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1472986002 + ... + 1473058000.

It is an arithmetic number, because the mean of its divisors is an integer number (1966025520000).

Almost surely, 2106056111049999 is an apocalyptic number.

106056111049999 is a deficient number, since it is larger than the sum of its proper divisors (19769522230001).

106056111049999 is a wasteful number, since it uses less digits than its factorization.

106056111049999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73504.

The product of its (nonzero) digits is 4723920, while the sum is 61.

The spelling of 106056111049999 in words is "one hundred six trillion, fifty-six billion, one hundred eleven million, forty-nine thousand, nine hundred ninety-nine".

Divisors: 1 11 17 67 89 187 737 979 1139 1321 1513 5963 12529 14531 16643 22457 65593 71999 88507 101371 117569 247027 791989 973577 1115081 1223983 1293259 1504619 1998673 4823933 6407911 7877123 13463813 16550809 21985403 53063263 70487021 82006861 86648353 95110679 108934487 133911091 429330037 902075471 1046217469 1198279357 1473022001 1616881543 4722630407 6372415493 7298610629 8464850431 17785696973 70096570423 80284716919 93113354741 108331063381 143902457327 567144978877 1191641697191 1582927030597 6238594767647 9641464640909 106056111049999