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212120210202010 = 2511231018271003771
BaseRepresentation
bin110000001110110000010101…
…110001110101110110011010
31000211001111100011102010210221
4300032300111301311312122
5210300334142302431020
62031050402421230254
762452115360230345
oct6016602561656632
91024044304363727
10212120210202010
1161651748773140
121b95a39926238a
139148b085828c6
143a5495c82545c
15197cb006376aa
hexc0ec15c75d9a

212120210202010 has 128 divisors (see below), whose sum is σ = 439471360677888. Its totient is φ = 72962033760000.

The previous prime is 212120210201981. The next prime is 212120210202013. The reversal of 212120210202010 is 10202012021212.

It is a happy number.

212120210202010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121202102020102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212120210202013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210821425 + ... + 211825195.

It is an arithmetic number, because the mean of its divisors is an integer number (3433370005296).

Almost surely, 2212120210202010 is an apocalyptic number.

212120210202010 is an abundant number, since it is smaller than the sum of its proper divisors (227351150475878).

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

212120210202010 is a wasteful number, since it uses less digits than its factorization.

212120210202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004740.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212120210202010 its reverse (10202012021212), we get a palindrome (222322222223222).

The spelling of 212120210202010 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred ten million, two hundred two thousand, ten".

Divisors: 1 2 5 10 11 22 23 46 55 101 110 115 202 230 253 505 506 827 1010 1111 1265 1654 2222 2323 2530 4135 4646 5555 8270 9097 11110 11615 18194 19021 23230 25553 38042 45485 51106 83527 90970 95105 127765 167054 190210 209231 255530 417635 418462 835270 918797 1003771 1046155 1837594 1921121 2007542 2092310 3842242 4593985 5018855 9187970 9605605 10037710 11041481 19211210 21132331 22082962 23086733 42264662 46173466 55207405 101380871 105661655 110414810 115433665 202761742 211323310 230867330 253954063 506904355 507908126 830118617 1013808710 1115189581 1269770315 1660237234 2230379162 2331760033 2539540630 4150593085 4663520066 5575947905 8301186170 9131304787 11151895810 11658800165 18262609574 19092728191 23317600330 25649360363 38185456382 45656523935 51298720726 83841980317 91313047870 95463640955 128246801815 167683960634 190927281910 210020010101 256493603630 419209901585 420040020202 838419803170 922261783487 1050100050505 1844523566974 1928365547291 2100200101010 3856731094582 4611308917435 9222617834870 9641827736455 19283655472910 21212021020201 42424042040402 106060105101005 212120210202010