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211621031336 = 23111310110717117
BaseRepresentation
bin1100010100010110011…
…0001010110110101000
3202020020020022020120102
43011011212022312220
511431344441000321
6241114541044532
721201111041561
oct3050546126650
9666206266512
10211621031336
1181825612030
123501b556748
1316c56ac7090
14a357651168
1557887d7c0b
hex314598ada8

211621031336 has 128 divisors (see below), whose sum is σ = 475201157760. Its totient is φ = 87086208000.

The previous prime is 211621031309. The next prime is 211621031341. The reversal of 211621031336 is 633130126112.

It is a junction number, because it is equal to n+sod(n) for n = 211621031299 and 211621031308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12354650 + ... + 12371766.

It is an arithmetic number, because the mean of its divisors is an integer number (3712509045).

Almost surely, 2211621031336 is an apocalyptic number.

211621031336 is a gapful number since it is divisible by the number (26) 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 211621031336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600578880).

211621031336 is an abundant number, since it is smaller than the sum of its proper divisors (263580126424).

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

211621031336 is a wasteful number, since it uses less digits than its factorization.

211621031336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17355 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 211621031336 its reverse (633130126112), we get a palindrome (844751157448).

The spelling of 211621031336 in words is "two hundred eleven billion, six hundred twenty-one million, thirty-one thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 101 104 107 143 202 214 286 404 428 572 808 856 1111 1144 1177 1313 1391 2222 2354 2626 2782 4444 4708 5252 5564 8888 9416 10504 10807 11128 14443 15301 17117 21614 28886 30602 34234 43228 57772 61204 68468 86456 115544 118877 122408 136936 140491 188287 222521 237754 280982 376574 445042 475508 561964 753148 890084 951016 1123928 1506296 1545401 1728817 1780168 1831519 2447731 3090802 3457634 3663038 4895462 6181604 6915268 7326076 9790924 12363208 13830536 14652152 19016987 19581848 20146709 22474621 23809747 38033974 40293418 44949242 47619494 76067948 80586836 89898484 95238988 152135896 161173672 179796968 184983419 190477976 247220831 261907217 369966838 494441662 523814434 739933676 988883324 1047628868 1479867352 1977766648 2034817609 2095257736 2404784447 4069635218 4809568894 8139270436 9619137788 16278540872 19238275576 26452628917 52905257834 105810515668 211621031336