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101213311103040 = 2635472243202817
BaseRepresentation
bin10111000000110110001111…
…011101000111000001000000
3111021100220020200012201212110
4113000312033131013001000
5101231234330120244130
6555132430410255320
730214264126305003
oct2700661735070100
9437326220181773
10101213311103040
112a282362545a74
12b427999127540
1344624b33ba086
141adca7112953a
15ba7bccdb0ab0
hex5c0d8f747040

101213311103040 has 112 divisors (see below), whose sum is σ = 328189545084672. Its totient is φ = 26415956361216.

The previous prime is 101213311102987. The next prime is 101213311103063. The reversal of 101213311103040 is 40301113312101.

It is a junction number, because it is equal to n+sod(n) for n = 101213311102998 and 101213311103016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121556289 + ... + 1121646528.

Almost surely, 2101213311103040 is an apocalyptic number.

101213311103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213311103040 is an abundant number, since it is smaller than the sum of its proper divisors (226976233981632).

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

101213311103040 is a wasteful number, since it uses less digits than its factorization.

101213311103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243202884 (or 2243202874 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101213311103040 its reverse (40301113312101), we get a palindrome (141514424415141).

The spelling of 101213311103040 in words is "one hundred one trillion, two hundred thirteen billion, three hundred eleven million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 15040 22560 45120 2243202817 4486405634 6729608451 8972811268 11216014085 13459216902 17945622536 22432028170 26918433804 33648042255 35891245072 44864056340 53836867608 67296084510 71782490144 89728112680 105430532399 107673735216 134592169020 143564980288 179456225360 210861064798 215347470432 269184338040 316291597197 358912450720 421722129596 430694940864 527152661995 538368676080 632583194394 717824901440 843444259192 1054305323990 1076737352160 1265166388788 1581457985985 1686888518384 2108610647980 2153474704320 2530332777576 3162915971970 3373777036768 4217221295960 5060665555152 6325831943940 6747554073536 8434442591920 10121331110304 12651663887880 16868885183840 20242662220608 25303327775760 33737770367680 50606655551520 101213311103040