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151106561333 = 7133730944507
BaseRepresentation
bin1000110010111010100…
…1110010010100110101
3112110000212122122122122
42030232221302110311
54433431234430313
6153230054005325
713626363402410
oct2145651622465
9473025578578
10151106561333
11590a1795052
1225351346845
13113318b9790
14745671ab77
153de5d0e708
hex232ea72535

151106561333 has 16 divisors (see below), whose sum is σ = 185986469760. Its totient is φ = 119550949056.

The previous prime is 151106561327. The next prime is 151106561341. The reversal of 151106561333 is 333165601151.

151106561333 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 151106561333 - 26 = 151106561269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151106561293 and 151106561302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151106561383) 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 15 ways as a sum of consecutive naturals, for example, 3372866 + ... + 3417372.

It is an arithmetic number, because the mean of its divisors is an integer number (11624154360).

Almost surely, 2151106561333 is an apocalyptic number.

151106561333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

151106561333 is a deficient number, since it is larger than the sum of its proper divisors (34879908427).

151106561333 is a wasteful number, since it uses less digits than its factorization.

151106561333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81836.

The product of its (nonzero) digits is 24300, while the sum is 35.

The spelling of 151106561333 in words is "one hundred fifty-one billion, one hundred six million, five hundred sixty-one thousand, three hundred thirty-three".

Divisors: 1 7 13 91 37309 44507 261163 311549 485017 578591 3395119 4050137 1660511663 11623581641 21586651619 151106561333