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102120020220120 = 23357121571452643
BaseRepresentation
bin10111001110000010101011…
…100001111001100011011000
3111101120120121210101021112120
4113032002223201321203120
5101341113300134020440
61001105142321341240
730336633204526440
oct2716025341714330
9441516553337476
10102120020220120
112a5a1948172821
12b553664197820
1344c9b51b24036
141b308c758d120
15bc15993e8dd0
hex5ce0ab8798d8

102120020220120 has 64 divisors (see below), whose sum is σ = 350125783614720. Its totient is φ = 23341718907264.

The previous prime is 102120020220083. The next prime is 102120020220173. The reversal of 102120020220120 is 21022020021201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102120020220120.

It is a congruent number.

It is an unprimeable number.

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, 60785725482 + ... + 60785727161.

It is an arithmetic number, because the mean of its divisors is an integer number (5470715368980).

Almost surely, 2102120020220120 is an apocalyptic number.

102120020220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120020220120 is an abundant number, since it is smaller than the sum of its proper divisors (248005763394600).

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

102120020220120 is a wasteful number, since it uses less digits than its factorization.

102120020220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121571452664 (or 121571452660 counting only the distinct ones).

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

Adding to 102120020220120 its reverse (21022020021201), we get a palindrome (123142040241321).

The spelling of 102120020220120 in words is "one hundred two trillion, one hundred twenty billion, twenty million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 121571452643 243142905286 364714357929 486285810572 607857263215 729428715858 851000168501 972571621144 1215714526430 1458857431716 1702000337002 1823571789645 2431429052860 2553000505503 2917714863432 3404000674004 3647143579290 4255000842505 4862858105720 5106001011006 6808001348008 7294287158580 8510001685010 10212002022012 12765002527515 14588574317160 17020003370020 20424004044024 25530005055030 34040006740040 51060010110060 102120020220120