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1137115066010 = 2571117101860089
BaseRepresentation
bin10000100011000001010…
…101101110111010011010
311000201002111121110210012
4100203001111232322122
5122112302424103020
62230214454121522
7145103525404040
oct20430125567232
94021074543705
101137115066010
113a927a8a0470
121644696502a2
13832ca2634b1
143d072862390
151e8a40727c5
hex108c156ee9a

1137115066010 has 128 divisors (see below), whose sum is σ = 2728728414720. Its totient is φ = 330273792000.

The previous prime is 1137115066007. The next prime is 1137115066013. The reversal of 1137115066010 is 106605117311.

It is an interprime number because it is at equal distance from previous prime (1137115066007) and next prime (1137115066013).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1137115066013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892046 + ... + 1752134.

It is an arithmetic number, because the mean of its divisors is an integer number (21318190740).

Almost surely, 21137115066010 is an apocalyptic number.

1137115066010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1137115066010 is an abundant number, since it is smaller than the sum of its proper divisors (1591613348710).

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

1137115066010 is a wasteful number, since it uses less digits than its factorization.

1137115066010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860232.

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 1137115066010 in words is "one trillion, one hundred thirty-seven billion, one hundred fifteen million, sixty-six thousand, ten".

Divisors: 1 2 5 7 10 11 14 17 22 34 35 55 70 77 85 101 110 119 154 170 187 202 238 374 385 505 595 707 770 935 1010 1111 1190 1309 1414 1717 1870 2222 2618 3434 3535 5555 6545 7070 7777 8585 11110 12019 13090 15554 17170 18887 24038 37774 38885 60095 77770 94435 120190 132209 188870 264418 661045 860089 1322090 1720178 4300445 6020623 8600890 9460979 12041246 14621513 18921958 29243026 30103115 47304895 60206230 66226853 73107565 86868989 94609790 102350591 132453706 146215130 160836643 173737978 204701182 321673286 331134265 434344945 511752955 608082923 662268530 804183215 868689890 955558879 1023505910 1125856501 1216165846 1476772813 1608366430 1911117758 2251713002 2953545626 3040414615 4777794395 5629282505 6080829230 6688912153 7383864065 9555588790 10337409691 11258565010 13377824306 14767728130 16244500943 20674819382 32489001886 33444560765 51687048455 66889121530 81222504715 103374096910 113711506601 162445009430 227423013202 568557533005 1137115066010