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151034131461 = 33714934726317
BaseRepresentation
bin1000110010101001010…
…1011111010000000101
3112102211211100211112210
42030222111133100011
54433304214201321
6153214545334033
713624523635533
oct2145225372005
9472754324483
10151034131461
1159064914454
1225331037319
131131c8a9c75
14744ac65153
153dde7a3b76
hex232a55f405

151034131461 has 32 divisors (see below), whose sum is σ = 208817539200. Its totient is φ = 97026460416.

The previous prime is 151034131459. The next prime is 151034131463. The reversal of 151034131461 is 164131430151.

It is an interprime number because it is at equal distance from previous prime (151034131459) and next prime (151034131463).

It is not a de Polignac number, because 151034131461 - 21 = 151034131459 is a prime.

It is a super-2 number, since 2×1510341314612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151034131463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5725875 + ... + 5752191.

It is an arithmetic number, because the mean of its divisors is an integer number (6525548100).

Almost surely, 2151034131461 is an apocalyptic number.

It is an amenable number.

151034131461 is a deficient number, since it is larger than the sum of its proper divisors (57783407739).

151034131461 is a wasteful number, since it uses less digits than its factorization.

151034131461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26853.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 151034131461 in words is "one hundred fifty-one billion, thirty-four million, one hundred thirty-one thousand, four hundred sixty-one".

Divisors: 1 3 37 111 149 347 447 1041 5513 12839 16539 26317 38517 51703 78951 155109 973729 1913011 2921187 3921233 5739033 9131999 11763699 27395997 145085621 337883963 435256863 1013651889 1360667851 4082003553 50344710487 151034131461