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192152020122 = 23931157457
BaseRepresentation
bin1011001011110100100…
…1110010010010011010
3200100222101221000000000
42302331021302102122
511122011404120442
6224135020353430
716611464136126
oct2627511622232
9610871830000
10192152020122
1174544895817
12312a73a5876
13151734345ba
14942baaa586
154ee94a6d4c
hex2cbd27249a

192152020122 has 80 divisors (see below), whose sum is σ = 446283839232. Its totient is φ = 61984128960.

The previous prime is 192152020103. The next prime is 192152020127. The reversal of 192152020122 is 221020251291.

It is a happy number.

192152020122 is a `hidden beast` number, since 19 + 2 + 1 + 520 + 2 + 0 + 122 = 666.

192152020122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (192152020127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1141618 + ... + 1299074.

Almost surely, 2192152020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192152020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223141919616).

192152020122 is an abundant number, since it is smaller than the sum of its proper divisors (254131819110).

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

192152020122 is an frugal number, since it uses more digits than its factorization.

192152020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157517 (or 157493 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 192152020122 in words is "one hundred ninety-two billion, one hundred fifty-two million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 1458 1674 2187 2511 4374 5022 6561 7533 13122 15066 19683 22599 39366 45198 67797 135594 157457 203391 314914 406782 472371 610173 944742 1220346 1417113 2834226 4251339 4881167 8502678 9762334 12754017 14643501 25508034 29287002 38262051 43930503 76524102 87861006 114786153 131791509 229572306 263583018 344358459 395374527 688716918 790749054 1033075377 1186123581 2066150754 2372247162 3099226131 3558370743 6198452262 7116741486 10675112229 21350224458 32025336687 64050673374 96076010061 192152020122