Search a number
-
+
102002111020220 = 22517771413889063
BaseRepresentation
bin10111001100010100110111…
…100101111111110010111100
3111101011022021111102022120212
4113030110313211333302330
5101332200310410121340
61000535042314131552
730325260254053235
oct2714246745776274
9441138244368525
10102002111020220
112a556941532774
12b534838720bb8
1344bb9b0b561b8
141b28cddbba08c
15bbd497c8ea65
hex5cc53797fcbc

102002111020220 has 48 divisors (see below), whose sum is σ = 226807692366528. Its totient is φ = 38400287063040.

The previous prime is 102002111020177. The next prime is 102002111020223. The reversal of 102002111020220 is 22020111200201.

It is a junction number, because it is equal to n+sod(n) for n = 102002111020195 and 102002111020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002111020223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24283409 + ... + 28172471.

It is an arithmetic number, because the mean of its divisors is an integer number (4725160257636).

Almost surely, 2102002111020220 is an apocalyptic number.

102002111020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002111020220 is an abundant number, since it is smaller than the sum of its proper divisors (124805581346308).

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

102002111020220 is a wasteful number, since it uses less digits than its factorization.

102002111020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966230 (or 3966228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102002111020220 its reverse (22020111200201), we get a palindrome (124022222220421).

The spelling of 102002111020220 in words is "one hundred two trillion, two billion, one hundred eleven million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 77141 154282 308564 385705 771410 1311397 1542820 2622794 3889063 5245588 6556985 7778126 13113970 15556252 19445315 26227940 38890630 66114071 77781260 132228142 264456284 330570355 661140710 1322281420 300006208883 600012417766 1200024835532 1500031044415 3000062088830 5100105551011 6000124177660 10200211102022 20400422204044 25500527755055 51001055510110 102002111020220