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212120110520 = 235173719074421
BaseRepresentation
bin1100010110001101011…
…0000000010110111000
3202021112000102002111122
43011203112000112320
511433410222014040
6241240250044412
721216351122123
oct3054326002670
9667460362448
10212120110520
1181a612aa66a
123513a719708
1317006318cc6
14a3a3a473ba
1557b751d1b5
hex31635805b8

212120110520 has 128 divisors (see below), whose sum is σ = 519392554560. Its totient is φ = 77640376320.

The previous prime is 212120110513. The next prime is 212120110577. The reversal of 212120110520 is 25011021212.

212120110520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47977910 + ... + 47982330.

Almost surely, 2212120110520 is an apocalyptic number.

212120110520 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 212120110520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259696277280).

212120110520 is an abundant number, since it is smaller than the sum of its proper divisors (307272444040).

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

212120110520 is a wasteful number, since it uses less digits than its factorization.

212120110520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 212120110520 its reverse (25011021212), we get a palindrome (237131131732).

The spelling of 212120110520 in words is "two hundred twelve billion, one hundred twenty million, one hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 1258 1480 1907 2516 3145 3814 4421 5032 6290 7628 8842 9535 12580 15256 17684 19070 22105 25160 32419 35368 38140 44210 64838 70559 75157 76280 88420 129676 141118 150314 162095 163577 176840 259352 282236 300628 324190 327154 352795 375785 564472 601256 648380 654308 705590 751570 817885 1199503 1296760 1308616 1411180 1503140 1635770 2399006 2780809 2822360 3006280 3271540 4798012 5561618 5997515 6543080 8430847 9596024 11123236 11995030 13904045 16861694 22246472 23990060 27808090 33723388 42154235 47980120 55616180 67446776 84308470 111232360 143324399 168616940 286648798 311941339 337233880 573297596 623882678 716621995 1146595192 1247765356 1433243990 1559706695 2495530712 2866487980 3119413390 5303002763 5732975960 6238826780 10606005526 12477653560 21212011052 26515013815 42424022104 53030027630 106060055260 212120110520