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101377472 = 267232327
BaseRepresentation
bin1100000101011…
…10010111000000
321001202111202012
412002232113000
5201423034342
614020512052
72340460100
oct602562700
9231674665
10101377472
1152252439
1229b4b628
1318006791
14d66d200
158d77b82
hex60ae5c0

101377472 has 42 divisors (see below), whose sum is σ = 234022392. Its totient is φ = 43446144.

The previous prime is 101377457. The next prime is 101377487. The reversal of 101377472 is 274773101.

It is an interprime number because it is at equal distance from previous prime (101377457) and next prime (101377487).

It is a super-2 number, since 2×1013774722 = 20554783658221568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13028 + ... + 19299.

Almost surely, 2101377472 is an apocalyptic number.

It is an amenable number.

101377472 is an abundant number, since it is smaller than the sum of its proper divisors (132644920).

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

101377472 is an equidigital number, since it uses as much as digits as its factorization.

101377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32353 (or 32336 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 101377472 is about 10068.6380409666. The cubic root of 101377472 is about 466.2803914668.

The spelling of 101377472 in words is "one hundred one million, three hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 32327 64654 129308 226289 258616 452578 517232 905156 1034464 1584023 1810312 2068928 3168046 3620624 6336092 7241248 12672184 14482496 25344368 50688736 101377472