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100420523625 = 3531716019839
BaseRepresentation
bin101110110000110000…
…1111001011001101001
3100121012110221011012210
41131201201321121221
53121130123224000
6114044344155333
710153341236622
oct1354141713151
9317173834183
10100420523625
1139651849794
1217566768b49
1396149888a6
144c08c48a49
15292b104350
hex1761879669

100420523625 has 64 divisors (see below), whose sum is σ = 177057653760. Its totient is φ = 50370560000.

The previous prime is 100420523611. The next prime is 100420523627. The reversal of 100420523625 is 526325024001.

It is not a de Polignac number, because 100420523625 - 26 = 100420523561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100420523592 and 100420523601.

It is not an unprimeable number, because it can be changed into a prime (100420523627) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10201456 + ... + 10211294.

It is an arithmetic number, because the mean of its divisors is an integer number (2766525840).

Almost surely, 2100420523625 is an apocalyptic number.

100420523625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100420523625 is a deficient number, since it is larger than the sum of its proper divisors (76637130135).

100420523625 is a wasteful number, since it uses less digits than its factorization.

100420523625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11475 (or 11465 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 100420523625 its reverse (526325024001), we get a palindrome (626745547626).

The spelling of 100420523625 in words is "one hundred billion, four hundred twenty million, five hundred twenty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 125 255 375 425 1275 1601 2125 4803 6375 8005 9839 24015 27217 29517 40025 49195 81651 120075 136085 147585 167263 200125 245975 408255 501789 600375 680425 737925 836315 1229875 2041275 2508945 3402125 3689625 4181575 10206375 12544725 15752239 20907875 47256717 62723625 78761195 236283585 267788063 393805975 803364189 1181417925 1338940315 1969029875 4016820945 5907089625 6694701575 20084104725 33473507875 100420523625