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151101216 = 25327241311
BaseRepresentation
bin10010000000110…
…01111100100000
3101112022201220100
421000121330200
5302140214331
622554342400
73513224220
oct1100317440
9345281810
10151101216
1178324642
124272aa00
13253c6206
14160d4080
15d3eaae6
hex9019f20

151101216 has 144 divisors (see below), whose sum is σ = 494702208. Its totient is φ = 42854400.

The previous prime is 151101179. The next prime is 151101221. The reversal of 151101216 is 612101151.

It is a happy number.

151101216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485701 + ... + 486011.

It is an arithmetic number, because the mean of its divisors is an integer number (3435432).

Almost surely, 2151101216 is an apocalyptic number.

151101216 is a gapful number since it is divisible by the number (16) 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 151101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247351104).

151101216 is an abundant number, since it is smaller than the sum of its proper divisors (343600992).

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

151101216 is a wasteful number, since it uses less digits than its factorization.

151101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 151101216 is about 12292.3234581588. The cubic root of 151101216 is about 532.6263563137.

Adding to 151101216 its reverse (612101151), we get a palindrome (763202367).

The spelling of 151101216 in words is "one hundred fifty-one million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 241 252 288 311 336 482 504 622 672 723 933 964 1008 1244 1446 1687 1866 1928 2016 2169 2177 2488 2799 2892 3374 3732 3856 4338 4354 4976 5061 5598 5784 6531 6748 7464 7712 8676 8708 9952 10122 11196 11568 13062 13496 14928 15183 17352 17416 19593 20244 22392 23136 26124 26992 29856 30366 34704 34832 39186 40488 44784 52248 53984 60732 69408 69664 74951 78372 80976 89568 104496 121464 149902 156744 161952 208992 224853 242928 299804 313488 449706 485856 524657 599608 626976 674559 899412 1049314 1199216 1349118 1573971 1798824 2098628 2398432 2698236 3147942 3597648 4197256 4721913 5396472 6295884 7195296 8394512 9443826 10792944 12591768 16789024 18887652 21585888 25183536 37775304 50367072 75550608 151101216