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211212222211220 = 225233631415330449
BaseRepresentation
bin110000000001100010101101…
…011110100010010010010100
31000200211200122220211002012212
4300001202231132202102110
5210141000112341224340
62025113315543332552
762326402522525046
oct6001425536422224
91020750586732185
10211212222211220
116133166716866a
121b832415a51158
1390b12c4bc9939
143a22a245bda96
1519641abbd3a65
hexc018ad7a2494

211212222211220 has 96 divisors (see below), whose sum is σ = 463084410700800. Its totient is φ = 80767270932480.

The previous prime is 211212222211219. The next prime is 211212222211223. The reversal of 211212222211220 is 22112222212112.

It is a super-2 number, since 2×2112122222112202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212222211223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6936574556 + ... + 6936605004.

It is an arithmetic number, because the mean of its divisors is an integer number (4823795944800).

Almost surely, 2211212222211220 is an apocalyptic number.

211212222211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212222211220 is an abundant number, since it is smaller than the sum of its proper divisors (251872188489580).

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

211212222211220 is a wasteful number, since it uses less digits than its factorization.

211212222211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38265 (or 38263 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 211212222211220 its reverse (22112222212112), we get a palindrome (233324444423332).

The spelling of 211212222211220 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 3631 4153 7262 8306 14524 16612 18155 20765 30449 36310 41530 60898 72620 83060 83513 95519 121796 152245 167026 191038 304490 334052 382076 417565 477595 608980 700327 835130 955190 1400654 1670260 1910380 2801308 3501635 7003270 14006540 15079543 30159086 60318172 75397715 110560319 126454697 150795430 221120638 252909394 301590860 346829489 442241276 505818788 552801595 632273485 693658978 1105603190 1264546970 1387317956 1734147445 2211206380 2529093940 2542887337 2908458031 3468294890 5085774674 5816916062 6936589780 10171549348 11633832124 12714436685 14542290155 25428873370 29084580310 50857746740 58169160620 459157004807 918314009614 1836628019228 2295785024035 4591570048070 9183140096140 10560611110561 21121222221122 42242444442244 52803055552805 105606111105610 211212222211220