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210000121102120 = 235291631110641639
BaseRepresentation
bin101111101111111001110110…
…100111101111111100101000
31000112112211000111201221021111
4233233321312213233330220
5210011120222000231440
62022344420202120104
762143002524223406
oct5757716647577450
91015484014657244
10210000121102120
1160a04607741168
121b67751b7b0034
139023c07538b5b
1439c00bac78476
1519428b99544ea
hexbefe769eff28

210000121102120 has 64 divisors (see below), whose sum is σ = 491792118192000. Its totient is φ = 80605927519488.

The previous prime is 210000121102097. The next prime is 210000121102129. The reversal of 210000121102120 is 21201121000012.

It is a super-4 number, since 4×2100001211021204 (a number of 58 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210000121102120.

It is not an unprimeable number, because it can be changed into a prime (210000121102129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555131740 + ... + 555509899.

It is an arithmetic number, because the mean of its divisors is an integer number (7684251846750).

Almost surely, 2210000121102120 is an apocalyptic number.

210000121102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000121102120 is an abundant number, since it is smaller than the sum of its proper divisors (281791997089880).

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

210000121102120 is a wasteful number, since it uses less digits than its factorization.

210000121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110641842 (or 1110641838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210000121102120 its reverse (21201121000012), we get a palindrome (231201242102132).

The spelling of 210000121102120 in words is "two hundred ten trillion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 163 232 290 326 580 652 815 1160 1304 1630 3260 4727 6520 9454 18908 23635 37816 47270 94540 189080 1110641639 2221283278 4442566556 5553208195 8885133112 11106416390 22212832780 32208607531 44425665560 64417215062 128834430124 161043037655 181034587157 257668860248 322086075310 362069174314 644172150620 724138348628 905172935785 1288344301240 1448276697256 1810345871570 3620691743140 5250003027553 7241383486280 10500006055106 21000012110212 26250015137765 42000024220424 52500030275530 105000060551060 210000121102120