Search a number
-
+
102120202100202 = 231113196264274451
BaseRepresentation
bin10111001110000010110110…
…010111101101110111101010
3111101120121002110121202002220
4113032002312113231313222
5101341114133214201302
61001105212335534510
730336640543505166
oct2716026627556752
9441517073552086
10102120202100202
112a5a1a308a9a40
12b5536b508a436
1344c9b807058a0
141b309037b5ca6
15bc15aa3744bc
hex5ce0b65eddea

102120202100202 has 64 divisors (see below), whose sum is σ = 252575545904640. Its totient is φ = 27061665624000.

The previous prime is 102120202100177. The next prime is 102120202100239. The reversal of 102120202100202 is 202001202021201.

It is a super-2 number, since 2×1021202021002022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3132120924 + ... + 3132153527.

It is an arithmetic number, because the mean of its divisors is an integer number (3946492904760).

Almost surely, 2102120202100202 is an apocalyptic number.

102120202100202 is an abundant number, since it is smaller than the sum of its proper divisors (150455343804438).

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

102120202100202 is a wasteful number, since it uses less digits than its factorization.

102120202100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264274499.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102120202100202 its reverse (202001202021201), we get a palindrome (304121404121403).

The spelling of 102120202100202 in words is "one hundred two trillion, one hundred twenty billion, two hundred two million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 494 627 741 858 1254 1482 2717 5434 8151 16302 6264274451 12528548902 18792823353 37585646706 68907018961 81435567863 119021214569 137814037922 162871135726 206721056883 238042429138 244306703589 357063643707 413442113766 488613407178 714127287414 895791246493 1309233360259 1547275789397 1791582492986 2618466720518 2687373739479 3094551578794 3927700080777 4641827368191 5374747478958 7855400161554 9283654736382 17020033683367 34040067366734 51060101050101 102120202100202