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102121120 = 255787811
BaseRepresentation
bin1100001011000…
…11111010100000
321010011021211201
412011203322200
5202120333440
614044450544
72350005133
oct605437240
9233137751
10102121120
1152710122
122a249a54
13182070ca
14d7c421a
158e7319a
hex6163ea0

102121120 has 48 divisors (see below), whose sum is σ = 241865568. Its totient is φ = 40746240.

The previous prime is 102121109. The next prime is 102121133. The reversal of 102121120 is 21121201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102121097 and 102121106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125515 + ... + 126325.

It is an arithmetic number, because the mean of its divisors is an integer number (5038866).

Almost surely, 2102121120 is an apocalyptic number.

102121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121120 is an abundant number, since it is smaller than the sum of its proper divisors (139744448).

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

102121120 is an equidigital number, since it uses as much as digits as its factorization.

102121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 102121120 is about 10105.4994928504. The cubic root of 102121120 is about 467.4177383929.

Adding to 102121120 its reverse (21121201), we get a palindrome (123242321).

The spelling of 102121120 in words is "one hundred two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 787 811 1574 1622 3148 3244 3935 4055 6296 6488 7870 8110 12592 12976 15740 16220 25184 25952 31480 32440 62960 64880 125920 129760 638257 1276514 2553028 3191285 5106056 6382570 10212112 12765140 20424224 25530280 51060560 102121120