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103155445211040 = 25325155863459607
BaseRepresentation
bin10111011101000110111111…
…101010110001111110100000
3111112020120020100011200220100
4113131012333222301332200
5102010044322433223130
61003220542440342400
730504510044660415
oct2735067752617640
9445216210150810
10103155445211040
112a960a84623712
12b6a0271a74a00
134573694394b61
141b68a7073010c
15bdd49ab8dc60
hex5dd1bfab1fa0

103155445211040 has 144 divisors (see below), whose sum is σ = 352020981207168. Its totient is φ = 27507882382848.

The previous prime is 103155445211033. The next prime is 103155445211041. The reversal of 103155445211040 is 40112544551301.

103155445211040 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 5 + 54 + 452 + 110 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103155445210986 and 103155445211004.

It is not an unprimeable number, because it can be changed into a prime (103155445211041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224212917 + ... + 224672523.

It is an arithmetic number, because the mean of its divisors is an integer number (2444590147272).

Almost surely, 2103155445211040 is an apocalyptic number.

103155445211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103155445211040 is an abundant number, since it is smaller than the sum of its proper divisors (248865535996128).

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

103155445211040 is a wasteful number, since it uses less digits than its factorization.

103155445211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615491 (or 615480 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 103155445211040 its reverse (40112544551301), we get a palindrome (143267989762341).

The spelling of 103155445211040 in words is "one hundred three trillion, one hundred fifty-five billion, four hundred forty-five million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 155863 311726 459607 467589 623452 779315 919214 935178 1246904 1378821 1402767 1558630 1838428 1870356 2298035 2337945 2493808 2757642 2805534 3117260 3676856 3740712 4136463 4596070 4675890 4987616 5515284 5611068 6234520 6894105 7013835 7353712 7481424 8272926 9192140 9351780 11030568 11222136 12469040 13788210 14027670 14707424 14962848 16545852 18384280 18703560 20682315 22061136 22444272 24938080 27576420 28055340 33091704 36768560 37407120 41364630 44122272 44888544 55152840 56110680 66183408 73537120 74814240 82729260 110305680 112221360 132366816 165458520 220611360 224442720 330917040 661834080 71635725841 143271451682 214907177523 286542903364 358178629205 429814355046 573085806728 644721532569 716357258410 859628710092 1074535887615 1146171613456 1289443065138 1432714516820 1719257420184 2149071775230 2292343226912 2578886130276 2865429033640 3223607662845 3438514840368 4298143550460 5157772260552 5730858067280 6447215325690 6877029680736 8596287100920 10315544521104 11461716134560 12894430651380 17192574201840 20631089042208 25788861302760 34385148403680 51577722605520 103155445211040