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100020942 = 23272931883
BaseRepresentation
bin1011111011000…
…11001011001110
320222012120221100
411331203023032
5201101132232
613531443530
72323110150
oct575431316
9228176840
10100020942
115150623a
12295b65a6
13179501b8
14d3d8ad0
158baac7c
hex5f632ce

100020942 has 96 divisors (see below), whose sum is σ = 264775680. Its totient is φ = 26671680.

The previous prime is 100020929. The next prime is 100021003. The reversal of 100020942 is 249020001.

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 47 ways as a sum of consecutive naturals, for example, 112833 + ... + 113715.

It is an arithmetic number, because the mean of its divisors is an integer number (2758080).

Almost surely, 2100020942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132387840).

100020942 is an abundant number, since it is smaller than the sum of its proper divisors (164754738).

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

100020942 is a wasteful number, since it uses less digits than its factorization.

100020942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100020942 is about 10001.0470451848. The cubic root of 100020942 is about 464.1912824842.

Adding to 100020942 its reverse (249020001), we get a palindrome (349040943).

The spelling of 100020942 in words is "one hundred million, twenty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 31 42 58 62 63 87 93 126 174 186 203 217 261 279 406 434 522 558 609 651 883 899 1218 1302 1766 1798 1827 1953 2649 2697 3654 3906 5298 5394 6181 6293 7947 8091 12362 12586 15894 16182 18543 18879 25607 27373 37086 37758 51214 54746 55629 56637 76821 82119 111258 113274 153642 164238 179249 191611 230463 246357 358498 383222 460926 492714 537747 574833 793817 1075494 1149666 1587634 1613241 1724499 2381451 3226482 3448998 4762902 5556719 7144353 11113438 14288706 16670157 33340314 50010471 100020942