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10212111121020 = 2235796661323443
BaseRepresentation
bin1001010010011011000101…
…0000010111101001111100
31100011021020120201122001120
42110212301100113221330
52314303400421333040
633415213514310540
72102541430206114
oct224466120275174
940137216648046
1010212111121020
113287a28553746
12118b213428450
13590cc86478a3
142743a98b6044
1512a9917877d0
hex949b1417a7c

10212111121020 has 96 divisors (see below), whose sum is σ = 28960295992320. Its totient is φ = 2688346402560.

The previous prime is 10212111121019. The next prime is 10212111121061. The reversal of 10212111121020 is 2012111121201.

It is a happy number.

It is a super-2 number, since 2×102121111210202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31411419 + ... + 31734861.

It is an arithmetic number, because the mean of its divisors is an integer number (301669749920).

Almost surely, 210212111121020 is an apocalyptic number.

10212111121020 is a gapful number since it is divisible by the number (10) 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 10212111121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480147996160).

10212111121020 is an abundant number, since it is smaller than the sum of its proper divisors (18748184871300).

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

10212111121020 is a wasteful number, since it uses less digits than its factorization.

10212111121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330195 (or 330193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10212111121020 its reverse (2012111121201), we get a palindrome (12224222242221).

The spelling of 10212111121020 in words is "ten trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 6661 13322 19983 26644 33305 39966 66610 79932 99915 133220 199830 323443 399660 526219 646886 970329 1052438 1293772 1578657 1617215 1940658 2104876 2631095 3157314 3234430 3881316 4851645 5262190 6314628 6468860 7893285 9703290 10524380 15786570 19406580 25551997 31573140 51103994 76655991 102207988 127759985 153311982 255519970 306623964 383279955 511039940 766559910 1533119820 2154453823 4308907646 6463361469 8617815292 10772269115 12926722938 21544538230 25853445876 32316807345 43089076460 64633614690 129267229380 170201852017 340403704034 510605556051 680807408068 851009260085 1021211112102 1702018520170 2042422224204 2553027780255 3404037040340 5106055560510 10212111121020