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213221102203220 = 225172237715519337
BaseRepresentation
bin110000011110110001101000…
…000011100011000101010100
31000221221201221012221021011112
4300132301220003203011110
5210421403304131000340
62033252231101354152
762624500452650456
oct6036615003430524
91027851835837145
10213221102203220
1161a3661a592911
121bab7817868958
1391c88820b3837
143a91d565662d6
15199b584585065
hexc1ec680e3154

213221102203220 has 72 divisors (see below), whose sum is σ = 475852886441016. Its totient is φ = 80237698523136.

The previous prime is 213221102203217. The next prime is 213221102203229. The reversal of 213221102203220 is 22302201122312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 47202776644 + 213173899426576 = 217262^2 + 14600476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213221102203229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5979392 + ... + 21498728.

Almost surely, 2213221102203220 is an apocalyptic number.

213221102203220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213221102203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237926443220508).

213221102203220 is an abundant number, since it is smaller than the sum of its proper divisors (262631784237796).

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

213221102203220 is a wasteful number, since it uses less digits than its factorization.

213221102203220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15521757 (or 15521738 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 213221102203220 its reverse (22302201122312), we get a palindrome (235523303325532).

The spelling of 213221102203220 in words is "two hundred thirteen trillion, two hundred twenty-one billion, one hundred two million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2377 2890 4754 5780 9508 11885 23770 40409 47540 80818 161636 202045 404090 686953 808180 1373906 2747812 3434765 6869530 13739060 15519337 31038674 62077348 77596685 155193370 263828729 310386740 527657458 1055314916 1319143645 2638287290 4485088393 5276574580 8970176786 17940353572 22425441965 36889464049 44850883930 73778928098 89701767860 147557856196 184447320245 368894640490 627120888833 737789280980 1254241777666 2508483555332 3135604444165 6271208888330 10661055110161 12542417776660 21322110220322 42644220440644 53305275550805 106610551101610 213221102203220