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10123223220 = 223251123222293
BaseRepresentation
bin10010110110110010…
…00010000010110100
3222010111122000121100
421123121002002310
5131213021120340
64352303450100
7505601656215
oct113331020264
928114560540
1010123223220
114325328490
121b662b6930
13c543a2516
146c067b40c
153e3aed830
hex25b6420b4

10123223220 has 144 divisors (see below), whose sum is σ = 34955286912. Its totient is φ = 2347403520.

The previous prime is 10123223207. The next prime is 10123223221. The reversal of 10123223220 is 2232232101.

10123223220 is a `hidden beast` number, since 10 + 12 + 322 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10123223193 and 10123223202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123223221) 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, 65607 + ... + 156686.

It is an arithmetic number, because the mean of its divisors is an integer number (242745048).

Almost surely, 210123223220 is an apocalyptic number.

10123223220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123223220 is an abundant number, since it is smaller than the sum of its proper divisors (24832063692).

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

10123223220 is a wasteful number, since it uses less digits than its factorization.

10123223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222342 (or 222337 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10123223220 its reverse (2232232101), we get a palindrome (12355455321).

The spelling of 10123223220 in words is "ten billion, one hundred twenty-three million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 222293 444586 666879 889172 1111465 1333758 2000637 2222930 2445223 2667516 3334395 4001274 4445860 4890446 5112739 6668790 7335669 8002548 9780892 10003185 10225478 12226115 13337580 14671338 15338217 20006370 20450956 22007007 24452230 25563695 29342676 30676434 36678345 40012740 44014014 46014651 48904460 51127390 56240129 61352868 73356690 76691085 88028028 92029302 102254780 110035035 112480258 146713380 153382170 168720387 184058604 220070070 224960516 230073255 281200645 306764340 337440774 440140140 460146510 506161161 562401290 674881548 843601935 920293020 1012322322 1124802580 1687203870 2024644644 2530805805 3374407740 5061611610 10123223220