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102120020 = 225172910357
BaseRepresentation
bin1100001011000…
…11101001010100
321010011020022222
412011203221110
5202120320040
614044441512
72350002002
oct605435124
9233136288
10102120020
115270a312
122a249298
1318206762
14d7c3a72
158e72bb5
hex6163a54

102120020 has 48 divisors (see below), whose sum is σ = 234919440. Its totient is φ = 37115904.

The previous prime is 102120017. The next prime is 102120043. The reversal of 102120020 is 20021201.

Adding to 102120020 its reverse (20021201), we get a palindrome (122141221).

It can be written as a sum of positive squares in 8 ways, for example, as 795664 + 101324356 = 892^2 + 10066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4682 + ... + 15038.

It is an arithmetic number, because the mean of its divisors is an integer number (4894155).

Almost surely, 2102120020 is an apocalyptic number.

102120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117459720).

102120020 is an abundant number, since it is smaller than the sum of its proper divisors (132799420).

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

102120020 is a wasteful number, since it uses less digits than its factorization.

102120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 102120020 is about 10105.4450668934. The cubic root of 102120020 is about 467.4160601199.

The spelling of 102120020 in words is "one hundred two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 10357 20714 41428 51785 103570 176069 207140 300353 352138 600706 704276 880345 1201412 1501765 1760690 3003530 3521380 5106001 6007060 10212002 20424004 25530005 51060010 102120020