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102120102030 = 235109154920161
BaseRepresentation
bin101111100011011010…
…1010001100010001110
3100202120220222200111010
41133012311101202032
53133120221231110
6114525140110050
710243426354662
oct1370665214216
9322526880433
10102120102030
113a344154141
121795b995326
139825b1829b
144d2a8608a2
1529ca423020
hex17c6d5188e

102120102030 has 64 divisors (see below), whose sum is σ = 247508712000. Its totient is φ = 26963435520.

The previous prime is 102120102017. The next prime is 102120102037. The reversal of 102120102030 is 30201021201.

It is a super-2 number, since 2×1021201020302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102120101997 and 102120102015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120102037) 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 31 ways as a sum of consecutive naturals, for example, 5055150 + ... + 5075310.

It is an arithmetic number, because the mean of its divisors is an integer number (3867323625).

Almost surely, 2102120102030 is an apocalyptic number.

102120102030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120102030 is an abundant number, since it is smaller than the sum of its proper divisors (145388609970).

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

102120102030 is a wasteful number, since it uses less digits than its factorization.

102120102030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21829.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102120102030 its reverse (30201021201), we get a palindrome (132321123231).

The spelling of 102120102030 in words is "one hundred two billion, one hundred twenty million, one hundred two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 109 218 327 545 654 1090 1549 1635 3098 3270 4647 7745 9294 15490 20161 23235 40322 46470 60483 100805 120966 168841 201610 302415 337682 506523 604830 844205 1013046 1688410 2197549 2532615 4395098 5065230 6592647 10987745 13185294 21975490 31229389 32963235 62458778 65926470 93688167 156146945 187376334 312293890 468440835 936881670 3404003401 6808006802 10212010203 17020017005 20424020406 34040034010 51060051015 102120102030