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10220134410 = 2325237962497
BaseRepresentation
bin10011000010010101…
…01110000000001010
3222101020222121202200
421201022232000022
5131412323300120
64410044541030
7511156465143
oct114112560012
928336877680
1010220134410
114374aaa282
121b92851776
13c6b4a4115
146cd4a6aca
153ec392e90
hex2612ae00a

10220134410 has 96 divisors (see below), whose sum is σ = 28079101440. Its totient is φ = 2573835264.

The previous prime is 10220134399. The next prime is 10220134427. The reversal of 10220134410 is 1443102201.

10220134410 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 3 + 441 + 0 = 666.

It is a super-2 number, since 2×102201344102 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132282 + ... + 194778.

It is an arithmetic number, because the mean of its divisors is an integer number (292490640).

Almost surely, 210220134410 is an apocalyptic number.

10220134410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220134410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039550720).

10220134410 is an abundant number, since it is smaller than the sum of its proper divisors (17858967030).

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

10220134410 is a wasteful number, since it uses less digits than its factorization.

10220134410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62612 (or 62609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10220134410 its reverse (1443102201), we get a palindrome (11663236611).

The spelling of 10220134410 in words is "ten billion, two hundred twenty million, one hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 79 90 115 138 158 207 230 237 345 395 414 474 690 711 790 1035 1185 1422 1817 2070 2370 3555 3634 5451 7110 9085 10902 16353 18170 27255 32706 54510 62497 81765 124994 163530 187491 312485 374982 562473 624970 937455 1124946 1437431 1874910 2812365 2874862 4312293 4937263 5624730 7187155 8624586 9874526 12936879 14374310 14811789 21561465 24686315 25873758 29623578 43122930 44435367 49372630 64684395 74058945 88870734 113557049 129368790 148117890 222176835 227114098 340671147 444353670 567785245 681342294 1022013441 1135570490 1703355735 2044026882 3406711470 5110067205 10220134410