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10220132010 = 23511149347599
BaseRepresentation
bin10011000010010101…
…01101011010101010
3222101020222111110210
421201022231122222
5131412323211020
64410044521550
7511156455144
oct114112553252
928336874423
1010220132010
114374aa84a0
121b928502b6
13c6b4a2cba
146cd4a5c94
153ec3923e0
hex2612ad6aa

10220132010 has 128 divisors (see below), whose sum is σ = 27060480000. Its totient is φ = 2449790720.

The previous prime is 10220132009. The next prime is 10220132023. The reversal of 10220132010 is 1023102201.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17061691 + ... + 17062289.

It is an arithmetic number, because the mean of its divisors is an integer number (211410000).

Almost surely, 210220132010 is an apocalyptic number.

10220132010 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 10220132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530240000).

10220132010 is an abundant number, since it is smaller than the sum of its proper divisors (16840347990).

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

10220132010 is a wasteful number, since it uses less digits than its factorization.

10220132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10220132010 its reverse (1023102201), we get a palindrome (11243234211).

The spelling of 10220132010 in words is "ten billion, two hundred twenty million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 149 165 298 330 347 447 599 694 745 894 1041 1198 1490 1639 1735 1797 2082 2235 2995 3278 3470 3594 3817 4470 4917 5205 5990 6589 7634 8195 8985 9834 10410 11451 13178 16390 17970 19085 19767 22902 24585 32945 38170 39534 49170 51703 57255 65890 89251 98835 103406 114510 155109 178502 197670 207853 258515 267753 310218 415706 446255 517030 535506 568733 623559 775545 892510 981761 1039265 1137466 1247118 1338765 1551090 1706199 1963522 2078530 2286383 2677530 2843665 2945283 3117795 3412398 4572766 4908805 5687330 5890566 6235590 6859149 8530995 9817610 11431915 13718298 14726415 17061990 22863830 29452830 30970097 34295745 61940194 68591490 92910291 154850485 185820582 309700970 340671067 464551455 681342134 929102910 1022013201 1703355335 2044026402 3406710670 5110066005 10220132010