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101819430 = 236513967
BaseRepresentation
bin1100001000110…
…10010000100110
321002120222000000
412010122100212
5202031210210
614034202130
72344310436
oct604322046
9232528000
10101819430
1152524499
122a123346
131812c9ab
14d7462c6
158e13ac0
hex611a426

101819430 has 56 divisors (see below), whose sum is σ = 274806432. Its totient is φ = 27149904.

The previous prime is 101819429. The next prime is 101819447. The reversal of 101819430 is 34918101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101819394 and 101819403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 307 + ... + 14273.

Almost surely, 2101819430 is an apocalyptic number.

101819430 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 101819430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137403216).

101819430 is an abundant number, since it is smaller than the sum of its proper divisors (172987002).

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

101819430 is an equidigital number, since it uses as much as digits as its factorization.

101819430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13992 (or 13977 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101819430 is about 10090.5614313575. The cubic root of 101819430 is about 466.9569967754.

The spelling of 101819430 in words is "one hundred one million, eight hundred nineteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 13967 27934 41901 69835 83802 125703 139670 209505 251406 377109 419010 628515 754218 1131327 1257030 1885545 2262654 3393981 3771090 5656635 6787962 10181943 11313270 16969905 20363886 33939810 50909715 101819430