Search a number
-
+
102110011001020 = 225112503185432047
BaseRepresentation
bin10111001101111001010110…
…111011110000100010111100
3111101112121210020021021012001
4113031321112323300202330
5101340432300304013040
61001100405205152044
730336130155546601
oct2715712673604274
9441477706237161
10102110011001020
112a598681231320
12b5517300bb624
1344c8c18259599
141b3021810a6a8
15bc11b081959a
hex5cde56ef08bc

102110011001020 has 48 divisors (see below), whose sum is σ = 234018211488768. Its totient is φ = 37116078327360.

The previous prime is 102110011000999. The next prime is 102110011001039. The reversal of 102110011001020 is 20100110011201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102110011000988 and 102110011001006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92165364 + ... + 93266683.

It is an arithmetic number, because the mean of its divisors is an integer number (4875379406016).

Almost surely, 2102110011001020 is an apocalyptic number.

102110011001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102110011001020 is an abundant number, since it is smaller than the sum of its proper divisors (131908200487748).

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

102110011001020 is a wasteful number, since it uses less digits than its factorization.

102110011001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185434570 (or 185434568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102110011001020 its reverse (20100110011201), we get a palindrome (122210121012221).

The spelling of 102110011001020 in words is "one hundred two trillion, one hundred ten billion, eleven million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2503 5006 10012 12515 25030 27533 50060 55066 110132 137665 275330 550660 185432047 370864094 741728188 927160235 1854320470 2039752517 3708640940 4079505034 8159010068 10198762585 20397525170 40795050340 464136413641 928272827282 1856545654564 2320682068205 4641364136410 5105500550051 9282728272820 10211001100102 20422002200204 25527502750255 51055005500510 102110011001020