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100214723628 = 22323775236279
BaseRepresentation
bin101110101010101000…
…0110101010000101100
3100120200010200102200200
41131111100311100230
53120214432124003
6114012113153500
710145262044625
oct1352520652054
9316603612620
10100214723628
1139556665148
121750985b890
1395b1150646
144bc9796a4c
1529180016a3
hex175543542c

100214723628 has 36 divisors (see below), whose sum is σ = 260167056240. Its totient is φ = 32502072096.

The previous prime is 100214723627. The next prime is 100214723681. The reversal of 100214723628 is 826327412001.

It is a happy number.

100214723628 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 4 + 7 + 23 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100214723592 and 100214723601.

It is not an unprimeable number, because it can be changed into a prime (100214723627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37616808 + ... + 37619471.

Almost surely, 2100214723628 is an apocalyptic number.

100214723628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100214723628 is an abundant number, since it is smaller than the sum of its proper divisors (159952332612).

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

100214723628 is a wasteful number, since it uses less digits than its factorization.

100214723628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75236326 (or 75236321 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 100214723628 in words is "one hundred billion, two hundred fourteen million, seven hundred twenty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 75236279 150472558 225708837 300945116 451417674 677126511 902835348 1354253022 2708506044 2783742323 5567484646 8351226969 11134969292 16702453938 25053680907 33404907876 50107361814 100214723628