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100142370 = 232510710399
BaseRepresentation
bin1011111100000…
…00110100100010
320222102202111200
411332000310202
5201114023440
613534222030
72324124156
oct576006442
9228382450
10100142370
1151589499
1229654916
1317993553
14d42b066
158bd1c30
hex5f80d22

100142370 has 48 divisors (see below), whose sum is σ = 262828800. Its totient is φ = 26452512.

The previous prime is 100142353. The next prime is 100142381. The reversal of 100142370 is 73241001.

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

It is a Curzon number.

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, 4431 + ... + 14829.

It is an arithmetic number, because the mean of its divisors is an integer number (5475600).

Almost surely, 2100142370 is an apocalyptic number.

100142370 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 100142370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131414400).

100142370 is an abundant number, since it is smaller than the sum of its proper divisors (162686430).

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

100142370 is a wasteful number, since it uses less digits than its factorization.

100142370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10519 (or 10516 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100142370 is about 10007.1159681499. The cubic root of 100142370 is about 464.3790532431.

Adding to 100142370 its reverse (73241001), we get a palindrome (173383371).

The spelling of 100142370 in words is "one hundred million, one hundred forty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9630 10399 20798 31197 51995 62394 93591 103990 155985 187182 311970 467955 935910 1112693 2225386 3338079 5563465 6676158 10014237 11126930 16690395 20028474 33380790 50071185 100142370