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151101461550 = 235213337322973
BaseRepresentation
bin1000110010111001011…
…0010101010000101110
3112110000112001120001210
42030232112111100232
54433423433232200
6153225352415250
713626302142264
oct2145626252056
9473015046053
10151101461550
1159099921556
122534b6a7526
1311330822460
147455b90434
153de5653650
hex232e59542e

151101461550 has 96 divisors (see below), whose sum is σ = 403694349408. Its totient is φ = 37181560320.

The previous prime is 151101461527. The next prime is 151101461551. The reversal of 151101461550 is 55164101151.

It is a super-2 number, since 2×1511014615502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151101461551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6565864 + ... + 6588836.

It is an arithmetic number, because the mean of its divisors is an integer number (4205149473).

Almost surely, 2151101461550 is an apocalyptic number.

151101461550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151101461550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201847174704).

151101461550 is an abundant number, since it is smaller than the sum of its proper divisors (252592887858).

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

151101461550 is a wasteful number, since it uses less digits than its factorization.

151101461550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26374 (or 26369 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 151101461550 in words is "one hundred fifty-one billion, one hundred one million, four hundred sixty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 3373 6746 10119 16865 20238 22973 33730 43849 45946 50595 68919 84325 87698 101190 114865 131547 137838 168650 219245 229730 252975 263094 298649 344595 438490 505950 574325 597298 657735 689190 895947 1096225 1148650 1315470 1493245 1722975 1791894 2192450 2986490 3288675 3445950 4479735 6577350 7466225 8959470 14932450 22398675 44797350 77487929 154975858 232463787 387439645 464927574 774879290 1007343077 1162318935 1937198225 2014686154 2324637870 3022029231 3874396450 5036715385 5811594675 6044058462 10073430770 11623189350 15110146155 25183576925 30220292310 50367153850 75550730775 151101461550