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10105562220 = 223513109118861
BaseRepresentation
bin10010110100101011…
…01010010001101100
3222002021101202021020
421122111222101230
5131144010442340
64350433134140
7505265601345
oct113225522154
928067352236
1010105562220
114316365516
121b603ba350
13c5082a920
146bc1a10cc
153e22b09d0
hex25a56a46c

10105562220 has 96 divisors (see below), whose sum is σ = 30751976640. Its totient is φ = 2464680960.

The previous prime is 10105562209. The next prime is 10105562231. The reversal of 10105562220 is 2226550101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10105562209) and next prime (10105562231).

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, 25590 + ... + 144450.

It is an arithmetic number, because the mean of its divisors is an integer number (320333090).

Almost surely, 210105562220 is an apocalyptic number.

10105562220 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 10105562220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375988320).

10105562220 is an abundant number, since it is smaller than the sum of its proper divisors (20646414420).

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

10105562220 is a wasteful number, since it uses less digits than its factorization.

10105562220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118995 (or 118993 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10105562220 in words is "ten billion, one hundred five million, five hundred sixty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2834 3270 4251 5668 6540 7085 8502 14170 17004 21255 28340 42510 85020 118861 237722 356583 475444 594305 713166 1188610 1426332 1545193 1782915 2377220 3090386 3565830 4635579 6180772 7131660 7725965 9271158 12955849 15451930 18542316 23177895 25911698 30903860 38867547 46355790 51823396 64779245 77735094 92711580 129558490 155470188 168426037 194337735 259116980 336852074 388675470 505278111 673704148 777350940 842130185 1010556222 1684260370 2021112444 2526390555 3368520740 5052781110 10105562220