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151231320 = 23335178237
BaseRepresentation
bin10010000001110…
…01101101011000
3101112120100101000
421000321231120
5302203400240
623001225000
73514305432
oct1100715530
9345510330
10151231320
1178403369
1242792160
13254404b6
1416129652
15d424430
hex9039b58

151231320 has 128 divisors (see below), whose sum is σ = 533822400. Its totient is φ = 37951488.

The previous prime is 151231309. The next prime is 151231331. The reversal of 151231320 is 23132151.

It is an interprime number because it is at equal distance from previous prime (151231309) and next prime (151231331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 151231293 and 151231302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14242 + ... + 22478.

Almost surely, 2151231320 is an apocalyptic number.

151231320 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 151231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266911200).

151231320 is an abundant number, since it is smaller than the sum of its proper divisors (382591080).

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

151231320 is a wasteful number, since it uses less digits than its factorization.

151231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274 (or 8264 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 151231320 is about 12297.6144028019. The cubic root of 151231320 is about 532.7791831003.

Adding to 151231320 its reverse (23132151), we get a palindrome (174363471).

The spelling of 151231320 in words is "one hundred fifty-one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 8237 9180 16474 18360 24711 32948 41185 49422 65896 74133 82370 98844 123555 140029 148266 164740 197688 222399 247110 280058 296532 329480 370665 420087 444798 494220 560116 593064 700145 741330 840174 889596 988440 1111995 1120232 1260261 1400290 1482660 1680348 1779192 2100435 2223990 2520522 2800580 2965320 3360696 3780783 4200870 4447980 5041044 5601160 6301305 7561566 8401740 8895960 10082088 12602610 15123132 16803480 18903915 25205220 30246264 37807830 50410440 75615660 151231320