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151391701120 = 2751123989977
BaseRepresentation
bin1000110011111110100…
…1100000100010000000
3112110202202012020220111
42030333221200202000
54440022233413440
6153314241321104
713636425140632
oct2147751404200
9473682166814
10151391701120
1159228739870
1225410936194
13113789b374a
147482542a52
153e10d854ea
hex233fa60880

151391701120 has 128 divisors (see below), whose sum is σ = 396479059200. Its totient is φ = 54820577280.

The previous prime is 151391701103. The next prime is 151391701129. The reversal of 151391701120 is 21107193151.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (151391701129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1637572 + ... + 1727548.

It is an arithmetic number, because the mean of its divisors is an integer number (3097492650).

Almost surely, 2151391701120 is an apocalyptic number.

151391701120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151391701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198239529600).

151391701120 is an abundant number, since it is smaller than the sum of its proper divisors (245087358080).

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

151391701120 is a wasteful number, since it uses less digits than its factorization.

151391701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90246 (or 90234 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 31.

Adding to 151391701120 its reverse (21107193151), we get a palindrome (172498894271).

The spelling of 151391701120 in words is "one hundred fifty-one billion, three hundred ninety-one million, seven hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 239 320 352 440 478 640 704 880 956 1195 1408 1760 1912 2390 2629 3520 3824 4780 5258 7040 7648 9560 10516 13145 15296 19120 21032 26290 30592 38240 42064 52580 76480 84128 89977 105160 152960 168256 179954 210320 336512 359908 420640 449885 719816 841280 899770 989747 1439632 1682560 1799540 1979494 2879264 3599080 3958988 4948735 5758528 7198160 7917976 9897470 11517056 14396320 15835952 19794940 21504503 28792640 31671904 39589880 43009006 57585280 63343808 79179760 86018012 107522515 126687616 158359520 172036024 215045030 236549533 316719040 344072048 430090060 473099066 633438080 688144096 860180120 946198132 1182747665 1376288192 1720360240 1892396264 2365495330 2752576384 3440720480 3784792528 4730990660 6881440960 7569585056 9461981320 13762881920 15139170112 18923962640 30278340224 37847925280 75695850560 151391701120