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10001124150 = 23522910721487
BaseRepresentation
bin10010101000001110…
…10000101100110110
3221210222212202011120
421110013100230312
5130440241433100
64332222444410
7502560103233
oct112407205466
927728782146
1010001124150
114272412666
121b31433706
13c34cc2054
146ac37678a
153d80310a0
hex2541d0b36

10001124150 has 96 divisors (see below), whose sum is σ = 25899056640. Its totient is φ = 2550817920.

The previous prime is 10001124101. The next prime is 10001124151. The reversal of 10001124150 is 5142110001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001124151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454707 + ... + 476193.

It is an arithmetic number, because the mean of its divisors is an integer number (269781840).

Almost surely, 210001124150 is an apocalyptic number.

10001124150 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 10001124150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949528320).

10001124150 is an abundant number, since it is smaller than the sum of its proper divisors (15897932490).

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

10001124150 is a wasteful number, since it uses less digits than its factorization.

10001124150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21638 (or 21633 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10001124150 its reverse (5142110001), we get a palindrome (15143234151).

The spelling of 10001124150 in words is "ten billion, one million, one hundred twenty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 107 145 150 174 214 290 321 435 535 642 725 870 1070 1450 1605 2175 2675 3103 3210 4350 5350 6206 8025 9309 15515 16050 18618 21487 31030 42974 46545 64461 77575 93090 107435 128922 155150 214870 232725 322305 465450 537175 623123 644610 1074350 1246246 1611525 1869369 2299109 3115615 3223050 3738738 4598218 6231230 6897327 9346845 11495545 13794654 15578075 18693690 22991090 31156150 34486635 46734225 57477725 66674161 68973270 93468450 114955450 133348322 172433175 200022483 333370805 344866350 400044966 666741610 1000112415 1666854025 2000224830 3333708050 5000562075 10001124150