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102222111002020 = 225172910367354057
BaseRepresentation
bin10111001111100001110000…
…100111010100110110100100
3111101221100010200012100100221
4113033201300213110312210
5101344301340404031040
61001224104533214124
730350206130050132
oct2717416047246644
9441840120170327
10102222111002020
112a631176810249
12b56b3b6191344
134506671844919
141b3581017a752
15bc4071e7974a
hex5cf8709d4da4

102222111002020 has 48 divisors (see below), whose sum is σ = 235131590035440. Its totient is φ = 37156596936704.

The previous prime is 102222111001931. The next prime is 102222111002021. The reversal of 102222111002020 is 20200111222201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2851039004004 + 99371071998016 = 1688502^2 + 9968504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102222111001985 and 102222111002003.

It is not an unprimeable number, because it can be changed into a prime (102222111002021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5183667169 + ... + 5183686888.

It is an arithmetic number, because the mean of its divisors is an integer number (4898574792405).

Almost surely, 2102222111002020 is an apocalyptic number.

102222111002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222111002020 is an abundant number, since it is smaller than the sum of its proper divisors (132909479033420).

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

102222111002020 is a wasteful number, since it uses less digits than its factorization.

102222111002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10367354112 (or 10367354110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102222111002020 its reverse (20200111222201), we get a palindrome (122422222224221).

The spelling of 102222111002020 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred eleven million, two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 10367354057 20734708114 41469416228 51836770285 103673540570 176245018969 207347081140 300653267653 352490037938 601306535306 704980075876 881225094845 1202613070612 1503266338265 1762450189690 3006532676530 3524900379380 5111105550101 6013065353060 10222211100202 20444422200404 25555527750505 51111055501010 102222111002020