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10141014210 = 23519412931481
BaseRepresentation
bin10010111000111001…
…11001100011000010
3222011202002220020220
421130130321203002
5131232044423320
64354141043510
7506206125045
oct113434714302
928152086226
1010141014210
11433437a088
121b70256596
13c57c91332
146c2b8cc5c
153e5464e40
hex25c7398c2

10141014210 has 128 divisors (see below), whose sum is σ = 26351619840. Its totient is φ = 2489241600.

The previous prime is 10141014209. The next prime is 10141014217. The reversal of 10141014210 is 1241014101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10141014210.

It is not an unprimeable number, because it can be changed into a prime (10141014217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6846670 + ... + 6848150.

It is an arithmetic number, because the mean of its divisors is an integer number (205872030).

Almost surely, 210141014210 is an apocalyptic number.

10141014210 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 10141014210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175809920).

10141014210 is an abundant number, since it is smaller than the sum of its proper divisors (16210605630).

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

10141014210 is a wasteful number, since it uses less digits than its factorization.

10141014210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10141014210 its reverse (1241014101), we get a palindrome (11382028311).

The spelling of 10141014210 in words is "ten billion, one hundred forty-one million, fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 190 205 246 285 293 410 570 586 615 779 879 1230 1465 1481 1558 1758 2337 2930 2962 3895 4395 4443 4674 5567 7405 7790 8790 8886 11134 11685 12013 14810 16701 22215 23370 24026 27835 28139 33402 36039 44430 55670 56278 60065 60721 72078 83505 84417 120130 121442 140695 167010 168834 180195 182163 228247 281390 303605 360390 364326 422085 433933 456494 607210 684741 844170 867866 910815 1141235 1153699 1301799 1369482 1821630 2169665 2282470 2307398 2603598 3423705 3461097 4339330 5768495 6508995 6847410 6922194 8244727 11536990 13017990 16489454 17305485 17791253 24734181 34610970 35582506 41223635 49468362 53373759 82447270 88956265 106747518 123670905 177912530 247341810 266868795 338033807 533737590 676067614 1014101421 1690169035 2028202842 3380338070 5070507105 10141014210