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212120313313212 = 2232103571100185859
BaseRepresentation
bin110000001110110000011011…
…111011001011011110111100
31000211001111121100102201210100
4300032300123323023132330
5210300334400202010322
62031050420543241100
762452121051531163
oct6016603373133674
91024044540381710
10212120313313212
11616517a099a107
121b95a4078a9190
139148b23a45555
143a5496c3c63da
15197cb09703dac
hexc0ec1becb7bc

212120313313212 has 72 divisors (see below), whose sum is σ = 542346936010880. Its totient is φ = 69897669409440.

The previous prime is 212120313313201. The next prime is 212120313313229. The reversal of 212120313313212 is 212313313021212.

212120313313212 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 0 + 3 + 1 + 331 + 321 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47975662 + ... + 52210197.

Almost surely, 2212120313313212 is an apocalyptic number.

It is an amenable number.

212120313313212 is an abundant number, since it is smaller than the sum of its proper divisors (330226622697668).

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

212120313313212 is a wasteful number, since it uses less digits than its factorization.

212120313313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100186543 (or 100186538 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212120313313212 its reverse (212313313021212), we get a palindrome (424433626334424).

The spelling of 212120313313212 in words is "two hundred twelve trillion, one hundred twenty billion, three hundred thirteen million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 571 618 927 1142 1236 1713 1854 2284 3426 3708 5139 6852 10278 20556 58813 117626 176439 235252 352878 529317 705756 1058634 2117268 100185859 200371718 300557577 400743436 601115154 901672731 1202230308 1803345462 3606690924 10319143477 20638286954 30957430431 41276573908 57206125489 61914860862 92872291293 114412250978 123829721724 171618376467 185744582586 228824501956 343236752934 371489165172 514855129401 686473505868 1029710258802 2059420517604 5892230925367 11784461850734 17676692776101 23568923701468 35353385552202 53030078328303 70706771104404 106060156656606 212120313313212