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212320312100 = 2252131371192141
BaseRepresentation
bin1100010110111101000…
…1101101101100100100
3202022000222010101102222
43011233101231230210
511434312444441400
6241312201051512
721224331606161
oct3055721555444
9668028111388
10212320312100
1182054310016
1235195786b98
1317038943c90
14a3c247d068
1557c9db7185
hex316f46db24

212320312100 has 72 divisors (see below), whose sum is σ = 499798380648. Its totient is φ = 77822899200.

The previous prime is 212320312079. The next prime is 212320312147. The reversal of 212320312100 is 1213023212.

It can be written as a sum of positive squares in 12 ways, for example, as 59403337984 + 152916974116 = 243728^2 + 391046^2 .

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, 417971 + ... + 774170.

Almost surely, 2212320312100 is an apocalyptic number.

212320312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212320312100 is an abundant number, since it is smaller than the sum of its proper divisors (287478068548).

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

212320312100 is a wasteful number, since it uses less digits than its factorization.

212320312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192305 (or 1192298 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 212320312100 its reverse (1213023212), we get a palindrome (213533335312).

The spelling of 212320312100 in words is "two hundred twelve billion, three hundred twenty million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 137 260 274 325 548 650 685 1300 1370 1781 2740 3425 3562 6850 7124 8905 13700 17810 35620 44525 89050 178100 1192141 2384282 4768564 5960705 11921410 15497833 23842820 29803525 30995666 59607050 61991332 77489165 119214100 154978330 163323317 309956660 326646634 387445825 653293268 774891650 816616585 1549783300 1633233170 2123203121 3266466340 4083082925 4246406242 8166165850 8492812484 10616015605 16332331700 21232031210 42464062420 53080078025 106160156050 212320312100