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100142244 = 2235269383
BaseRepresentation
bin1011111100000…
…00110010100100
320222102202100000
411332000302210
5201114022434
613534221300
72324123616
oct576006244
9228382300
10100142244
1151589394
1229654830
1317993487
14d42adb6
158bd1b99
hex5f80ca4

100142244 has 72 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 33169824.

The previous prime is 100142233. The next prime is 100142267. The reversal of 100142244 is 442241001.

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

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, 261277 + ... + 261659.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2100142244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100142244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

100142244 is an abundant number, since it is smaller than the sum of its proper divisors (164034396).

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

100142244 is a wasteful number, since it uses less digits than its factorization.

100142244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100142244 is about 10007.1096726278. The cubic root of 100142244 is about 464.3788584811.

Adding to 100142244 its reverse (442241001), we get a palindrome (542383245).

The spelling of 100142244 in words is "one hundred million, one hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 269 324 383 486 538 766 807 972 1076 1149 1532 1614 2298 2421 3228 3447 4596 4842 6894 7263 9684 10341 13788 14526 20682 21789 29052 31023 41364 43578 62046 65367 87156 93069 103027 124092 130734 186138 206054 261468 309081 372276 412108 618162 927243 1236324 1854486 2781729 3708972 5563458 8345187 11126916 16690374 25035561 33380748 50071122 100142244