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101553420 = 22358112087
BaseRepresentation
bin1100000110110…
…01010100001100
321002002110002210
412003121110030
5201444202140
614024350420
72342122053
oct603312414
9232073083
10101553420
1152362651
122a015410
13180688a7
14d6b739a
158daed80
hex60d950c

101553420 has 48 divisors (see below), whose sum is σ = 284836608. Its totient is φ = 27034560.

The previous prime is 101553407. The next prime is 101553421. The reversal of 101553420 is 24355101.

It is a super-2 number, since 2×1015534202 = 20626194227392800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101553421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47617 + ... + 49703.

It is an arithmetic number, because the mean of its divisors is an integer number (5934096).

Almost surely, 2101553420 is an apocalyptic number.

101553420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101553420 is an abundant number, since it is smaller than the sum of its proper divisors (183283188).

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

101553420 is a wasteful number, since it uses less digits than its factorization.

101553420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 101553420 is about 10077.3716811478. The cubic root of 101553420 is about 466.5499901052.

The spelling of 101553420 in words is "one hundred one million, five hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 811 1622 2087 2433 3244 4055 4174 4866 6261 8110 8348 9732 10435 12165 12522 16220 20870 24330 25044 31305 41740 48660 62610 125220 1692557 3385114 5077671 6770228 8462785 10155342 16925570 20310684 25388355 33851140 50776710 101553420