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10132243020 = 2234510758453
BaseRepresentation
bin10010110111110110…
…11100001001001100
3222011010121021110000
421123323130021030
5131222323234040
64353225044300
7506041434054
oct113373341114
928133537400
1010132243020
11432a429169
121b69326690
13c5620cb93
146c1948564
153e47d1130
hex25bedc24c

10132243020 has 120 divisors (see below), whose sum is σ = 32082828624. Its totient is φ = 2676633984.

The previous prime is 10132243001. The next prime is 10132243021. The reversal of 10132243020 is 2034223101.

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 = 10132242984 and 10132243002.

It is not an unprimeable number, because it can be changed into a prime (10132243021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144114 + ... + 202566.

Almost surely, 210132243020 is an apocalyptic number.

10132243020 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 10132243020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16041414312).

10132243020 is an abundant number, since it is smaller than the sum of its proper divisors (21950585604).

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

10132243020 is a wasteful number, since it uses less digits than its factorization.

10132243020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58581 (or 58570 counting only the distinct ones).

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

Adding to 10132243020 its reverse (2034223101), we get a palindrome (12166466121).

The spelling of 10132243020 in words is "ten billion, one hundred thirty-two million, two hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 270 321 324 405 428 535 540 642 810 963 1070 1284 1605 1620 1926 2140 2889 3210 3852 4815 5778 6420 8667 9630 11556 14445 17334 19260 28890 34668 43335 57780 58453 86670 116906 173340 175359 233812 292265 350718 526077 584530 701436 876795 1052154 1169060 1578231 1753590 2104308 2630385 3156462 3507180 4734693 5260770 6254471 6312924 7891155 9469386 10521540 12508942 15782310 18763413 18938772 23673465 25017884 31272355 31564620 37526826 47346930 56290239 62544710 75053652 93817065 94693860 112580478 125089420 168870717 187634130 225160956 281451195 337741434 375268260 506612151 562902390 675482868 844353585 1013224302 1125804780 1688707170 2026448604 2533060755 3377414340 5066121510 10132243020