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1020220010220 = 2235591012853443
BaseRepresentation
bin11101101100010011101…
…10011110111011101100
310121112100212221101000110
432312021312132323230
5113203402310311340
62100403235300020
7133465001001105
oct16661166367354
93545325841013
101020220010220
11363744664944
1214588574a610
137528b415728
1437543a3d3ac
151b811990680
hexed89d9eeec

1020220010220 has 96 divisors (see below), whose sum is σ = 2933796983040. Its totient is φ = 264799417600.

The previous prime is 1020220010213. The next prime is 1020220010221. The reversal of 1020220010220 is 220100220201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020220010196 and 1020220010205.

It is not an unprimeable number, because it can be changed into a prime (1020220010221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069182 + ... + 1784261.

It is an arithmetic number, because the mean of its divisors is an integer number (30560385240).

Almost surely, 21020220010220 is an apocalyptic number.

1020220010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020220010220 is an abundant number, since it is smaller than the sum of its proper divisors (1913576972820).

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

1020220010220 is a wasteful number, since it uses less digits than its factorization.

1020220010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853615 (or 2853613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020220010220 its reverse (220100220201), we get a palindrome (1240320230421).

The spelling of 1020220010220 in words is "one trillion, twenty billion, two hundred twenty million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 101 118 177 202 236 295 303 354 404 505 590 606 708 885 1010 1180 1212 1515 1770 2020 3030 3540 5959 6060 11918 17877 23836 29795 35754 59590 71508 89385 119180 178770 357540 2853443 5706886 8560329 11413772 14267215 17120658 28534430 34241316 42801645 57068860 85603290 168353137 171206580 288197743 336706274 505059411 576395486 673412548 841765685 864593229 1010118822 1152790972 1440988715 1683531370 1729186458 2020237644 2525297055 2881977430 3367062740 3458372916 4322966145 5050594110 5763954860 8645932290 10101188220 17003666837 17291864580 34007333674 51011000511 68014667348 85018334185 102022001022 170036668370 204044002044 255055002555 340073336740 510110005110 1020220010220