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101133150 = 23522967347
BaseRepresentation
bin1100000011100…
…10101101011110
321001022002121020
412001302231132
5201342230100
614011345010
72335421556
oct601625536
9231262536
10101133150
11520a5918
1229a52166
1317c4c501
14d608166
158d2a5a0
hex6072b5e

101133150 has 96 divisors (see below), whose sum is σ = 264090240. Its totient is φ = 25576320.

The previous prime is 101133133. The next prime is 101133161. The reversal of 101133150 is 51331101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291277 + ... + 291623.

It is an arithmetic number, because the mean of its divisors is an integer number (2750940).

Almost surely, 2101133150 is an apocalyptic number.

101133150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101133150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132045120).

101133150 is an abundant number, since it is smaller than the sum of its proper divisors (162957090).

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

101133150 is a wasteful number, since it uses less digits than its factorization.

101133150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 101133150 is about 10056.4978993683. The cubic root of 101133150 is about 465.9055080503.

Adding to 101133150 its reverse (51331101), we get a palindrome (152464251).

The spelling of 101133150 in words is "one hundred one million, one hundred thirty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 67 75 87 134 145 150 174 201 290 335 347 402 435 670 694 725 870 1005 1041 1450 1675 1735 1943 2010 2082 2175 3350 3470 3886 4350 5025 5205 5829 8675 9715 10050 10063 10410 11658 17350 19430 20126 23249 26025 29145 30189 46498 48575 50315 52050 58290 60378 69747 97150 100630 116245 139494 145725 150945 232490 251575 291450 301890 348735 503150 581225 674221 697470 754725 1162450 1348442 1509450 1743675 2022663 3371105 3487350 4045326 6742210 10113315 16855525 20226630 33711050 50566575 101133150