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151010100 = 223252198831
BaseRepresentation
bin10010000000000…
…11101100110100
3101112011002220200
421000003230310
5302124310400
622552400500
73512364453
oct1100035464
9345132820
10151010100
117827213a
12426a6130
13253938b7
14160acb9a
15d3cdb00
hex9003b34

151010100 has 108 divisors (see below), whose sum is σ = 498301440. Its totient is φ = 38145600.

The previous prime is 151010089. The next prime is 151010131. The reversal of 151010100 is 1010151.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12685 + ... + 21515.

Almost surely, 2151010100 is an apocalyptic number.

151010100 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 151010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249150720).

151010100 is an abundant number, since it is smaller than the sum of its proper divisors (347291340).

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

151010100 is a wasteful number, since it uses less digits than its factorization.

151010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8870 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 151010100 is about 12288.6166837444. The cubic root of 151010100 is about 532.5192745784.

Adding to 151010100 its reverse (1010151), we get a palindrome (152020251).

The spelling of 151010100 in words is "one hundred fifty-one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 8831 17100 17662 26493 35324 44155 52986 79479 88310 105972 132465 158958 167789 176620 220775 264930 317916 335578 397395 441550 503367 529860 662325 671156 794790 838945 883100 1006734 1324650 1510101 1589580 1677890 1986975 2013468 2516835 2649300 3020202 3355780 3973950 4194725 5033670 6040404 7550505 7947900 8389450 10067340 12584175 15101010 16778900 25168350 30202020 37752525 50336700 75505050 151010100