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102120121210 = 252329731311601
BaseRepresentation
bin101111100011011010…
…1010110001101111010
3100202120221000122210111
41133012311112031322
53133120222334320
6114525140334534
710243426464622
oct1370665261572
9322527018714
10102120121210
113a344167598
121795b9a444a
139825b23c33
144d2a867882
1529ca428a5a
hex17c6d5637a

102120121210 has 128 divisors (see below), whose sum is σ = 202802434560. Its totient is φ = 36900864000.

The previous prime is 102120121087. The next prime is 102120121217. The reversal of 102120121210 is 12121021201.

102120121210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102120121217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63784410 + ... + 63786010.

It is an arithmetic number, because the mean of its divisors is an integer number (1584394020).

Almost surely, 2102120121210 is an apocalyptic number.

102120121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120121210 is a deficient number, since it is larger than the sum of its proper divisors (100682313350).

102120121210 is a wasteful number, since it uses less digits than its factorization.

102120121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102120121210 its reverse (12121021201), we get a palindrome (114241142411).

The spelling of 102120121210 in words is "one hundred two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 5 10 23 29 46 58 73 115 131 145 146 230 262 290 365 655 667 730 1310 1334 1601 1679 2117 3013 3202 3335 3358 3799 4234 6026 6670 7598 8005 8395 9563 10585 15065 16010 16790 18995 19126 21170 30130 36823 37990 46429 47815 48691 73646 87377 92858 95630 97382 116873 174754 184115 209731 219949 232145 233746 243455 277327 368230 419462 436885 439898 464290 486910 554654 584365 873770 1048655 1067867 1099745 1168730 1386635 2097310 2135734 2199490 2688079 2773270 3389317 4823813 5339335 5376158 6082199 6378521 6778634 9647626 10678670 12164398 12757042 13440395 15310363 16946585 24119065 26880790 30410995 30620726 31892605 33893170 48238130 60821990 63785210 76551815 77954291 139890577 153103630 155908582 279781154 352138349 389771455 444000527 699452885 704276698 779542910 888001054 1398905770 1760691745 2220002635 3521383490 4440005270 10212012121 20424024242 51060060605 102120121210