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172101020 = 22571394561
BaseRepresentation
bin10100100001000…
…00110110011100
3102222211122012212
422100200312130
5323024213040
625024415552
74156556150
oct1220406634
9388748185
10172101020
1189168053
12497775b8
1329869730
1418bdd060
1510197d65
hexa420d9c

172101020 has 48 divisors (see below), whose sum is σ = 444819648. Its totient is φ = 54466560.

The previous prime is 172101001. The next prime is 172101049. The reversal of 172101020 is 20101271.

It is a super-2 number, since 2×1721010202 = 59237522170080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 172100986 and 172101004.

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 15 ways as a sum of consecutive naturals, for example, 45461 + ... + 49100.

It is an arithmetic number, because the mean of its divisors is an integer number (9267076).

Almost surely, 2172101020 is an apocalyptic number.

172101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172101020 is an abundant number, since it is smaller than the sum of its proper divisors (272718628).

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

172101020 is a wasteful number, since it uses less digits than its factorization.

172101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94590 (or 94588 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 172101020 is about 13118.7278346645. The cubic root of 172101020 is about 556.2386317586.

Adding to 172101020 its reverse (20101271), we get a palindrome (192202291).

The spelling of 172101020 in words is "one hundred seventy-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 94561 189122 378244 472805 661927 945610 1229293 1323854 1891220 2458586 2647708 3309635 4917172 6146465 6619270 8605051 12292930 13238540 17210102 24585860 34420204 43025255 86050510 172101020