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10231012220 = 225112133131039
BaseRepresentation
bin10011000011101000…
…01101101101111100
3222102000110021022112
421201310031231330
5131423114342340
64411114033152
7511351111652
oct114164155574
928360407275
1010231012220
114380159a00
121b964187b8
13c708123b0
146d0ad8dd2
153ed2e1065
hex261d0db7c

10231012220 has 144 divisors (see below), whose sum is σ = 25538298240. Its totient is φ = 3419919360.

The previous prime is 10231012189. The next prime is 10231012229. The reversal of 10231012220 is 2221013201.

It is a happy number.

It is a super-2 number, since 2×102310122202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10231012195 and 10231012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231012229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9846461 + ... + 9847499.

Almost surely, 210231012220 is an apocalyptic number.

10231012220 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 10231012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769149120).

10231012220 is an abundant number, since it is smaller than the sum of its proper divisors (15307286020).

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

10231012220 is a wasteful number, since it uses less digits than its factorization.

10231012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10231012220 its reverse (2221013201), we get a palindrome (12452025421).

The spelling of 10231012220 in words is "ten billion, two hundred thirty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 313 484 572 605 626 715 1039 1210 1252 1430 1565 1573 2078 2420 2860 3130 3146 3443 4069 4156 5195 6260 6292 6886 7865 8138 10390 11429 13507 13772 15730 16276 17215 20345 20780 22858 27014 31460 34430 37873 40690 44759 45716 54028 57145 67535 68860 75746 81380 89518 114290 125719 135070 148577 151492 179036 189365 223795 228580 251438 270140 297154 325207 378730 447590 492349 502876 594308 628595 650414 742885 757460 895180 984698 1257190 1300828 1485770 1626035 1634347 1969396 2461745 2514380 2971540 3252070 3268694 3577277 4227691 4923490 6504140 6537388 7154554 8171735 8455382 9846980 14309108 16343470 16910764 17886385 21138455 32686940 35772770 39350047 42276910 46504601 71545540 78700094 84553820 93009202 157400188 186018404 196750235 232523005 393500470 465046010 511550611 787000940 930092020 1023101222 2046202444 2557753055 5115506110 10231012220