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100150973800 = 23521014957969
BaseRepresentation
bin101110101000101110…
…1101001010101101000
3100120111200201121100221
41131101131221111220
53120102122130200
6114001514535424
710143556142233
oct1352135512550
9316450647327
10100150973800
1139523682a39
12174b0437574
1395a0b8c957
144bc112041a
15291260c91a
hex1751769568

100150973800 has 48 divisors (see below), whose sum is σ = 235156517100. Its totient is φ = 39663744000.

The previous prime is 100150973789. The next prime is 100150973827. The reversal of 100150973800 is 8379051001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 87963255396 + 12187718404 = 296586^2 + 110398^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2458785 + ... + 2499184.

Almost surely, 2100150973800 is an apocalyptic number.

100150973800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100150973800 is an abundant number, since it is smaller than the sum of its proper divisors (135005543300).

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

100150973800 is a wasteful number, since it uses less digits than its factorization.

100150973800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958086 (or 4958077 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 100150973800 in words is "one hundred billion, one hundred fifty million, nine hundred seventy-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 4957969 9915938 19831876 24789845 39663752 49579690 99159380 123949225 198318760 247898450 495796900 500754869 991593800 1001509738 2003019476 2503774345 4006038952 5007548690 10015097380 12518871725 20030194760 25037743450 50075486900 100150973800