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151420100 = 225213269433
BaseRepresentation
bin10010000011001…
…11110011000100
3101112220221022212
421001213303010
5302230420400
623005242552
73516023006
oct1101476304
9345827285
10151420100
1178522187
1242863458
13254a83c0
1416178376
15d460335
hex9067cc4

151420100 has 72 divisors (see below), whose sum is σ = 355992840. Its totient is φ = 55572480.

The previous prime is 151420081. The next prime is 151420103. The reversal of 151420100 is 1024151.

It can be written as a sum of positive squares in 12 ways, for example, as 133033156 + 18386944 = 11534^2 + 4288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151420103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349484 + ... + 349916.

It is an arithmetic number, because the mean of its divisors is an integer number (4944345).

Almost surely, 2151420100 is an apocalyptic number.

151420100 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 151420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177996420).

151420100 is an abundant number, since it is smaller than the sum of its proper divisors (204572740).

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

151420100 is a wasteful number, since it uses less digits than its factorization.

151420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 151420100 is about 12305.2874814041. The cubic root of 151420100 is about 533.0007779241. Note that the first 3 decimals are identical.

Adding to 151420100 its reverse (1024151), we get a palindrome (152444251).

The spelling of 151420100 in words is "one hundred fifty-one million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 269 325 433 538 650 866 1076 1300 1345 1732 2165 2690 3497 4330 5380 5629 6725 6994 8660 10825 11258 13450 13988 17485 21650 22516 26900 28145 34970 43300 56290 69940 87425 112580 116477 140725 174850 232954 281450 349700 465908 562900 582385 1164770 1514201 2329540 2911925 3028402 5823850 6056804 7571005 11647700 15142010 30284020 37855025 75710050 151420100