Search a number
-
+
102021200120 = 23571073405247
BaseRepresentation
bin101111100000011101…
…1111111100011111000
3100202100000212221120102
41133000323333203320
53132414411400440
6114511244214532
710241115615140
oct1370073774370
9322300787512
10102021200120
113a2a3342724
121793283a448
13980b49a548
144d1b677920
1529c18d8b15
hex17c0eff8f8

102021200120 has 64 divisors (see below), whose sum is σ = 264792084480. Its totient is φ = 34651783296.

The previous prime is 102021200111. The next prime is 102021200129. The reversal of 102021200120 is 21002120201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102021200111) and next prime (102021200129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021200129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672664 + ... + 1732583.

It is an arithmetic number, because the mean of its divisors is an integer number (4137376320).

Almost surely, 2102021200120 is an apocalyptic number.

102021200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021200120 is an abundant number, since it is smaller than the sum of its proper divisors (162770884360).

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

102021200120 is a wasteful number, since it uses less digits than its factorization.

102021200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405372 (or 3405368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102021200120 its reverse (21002120201), we get a palindrome (123023320321).

The spelling of 102021200120 in words is "one hundred two billion, twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2996 3745 4280 5992 7490 14980 29960 3405247 6810494 13620988 17026235 23836729 27241976 34052470 47673458 68104940 95346916 119183645 136209880 190693832 238367290 364361429 476734580 728722858 953469160 1457445716 1821807145 2550530003 2914891432 3643614290 5101060006 7287228580 10202120012 12752650015 14574457160 20404240024 25505300030 51010600060 102021200120