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212102021010 = 2351110110975801
BaseRepresentation
bin1100010110001001000…
…0111111111110010010
3202021110202101001100210
43011202100333332102
511433341104133020
6241234402224550
721216041301045
oct3054220777622
9667422331323
10212102021010
1181a52074760
1235134655156
1317002654359
14a3a1498c5c
1557b5b483e0
hex316243ff92

212102021010 has 128 divisors (see below), whose sum is σ = 561427884288. Its totient is φ = 50854400000.

The previous prime is 212102020993. The next prime is 212102021029. The reversal of 212102021010 is 10120201212.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36560110 + ... + 36565910.

It is an arithmetic number, because the mean of its divisors is an integer number (4386155346).

Almost surely, 2212102021010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280713942144).

212102021010 is an abundant number, since it is smaller than the sum of its proper divisors (349325863278).

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

212102021010 is a wasteful number, since it uses less digits than its factorization.

212102021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212102021010 its reverse (10120201212), we get a palindrome (222222222222).

It can be divided in two parts, 21210202 and 1010, that added together give a palindrome (21211212).

The spelling of 212102021010 in words is "two hundred twelve billion, one hundred two million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1097 1111 1515 2194 2222 3030 3291 3333 5485 5555 5801 6582 6666 10970 11110 11602 12067 16455 16665 17403 24134 29005 32910 33330 34806 36201 58010 60335 63811 72402 87015 110797 120670 127622 174030 181005 191433 221594 319055 332391 362010 382866 553985 585901 638110 664782 957165 1107970 1171802 1218767 1661955 1757703 1914330 2437534 2929505 3323910 3515406 3656301 5859010 6093835 6363697 6444911 7312602 8788515 12187670 12727394 12889822 17577030 18281505 19091091 19334733 31818485 32224555 36563010 38182182 38669466 63636970 64449110 70000667 95455455 96673665 140001334 190910910 193347330 210002001 350003335 420004002 642733397 700006670 1050010005 1285466794 1928200191 2100020010 3213666985 3856400382 6427333970 7070067367 9641000955 14140134734 19282001910 21210202101 35350336835 42420404202 70700673670 106051010505 212102021010