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103012310201220 = 22325794318668837
BaseRepresentation
bin10111011011000001101100…
…001010000011001110000100
3111111201212210000101211011100
4113123001230022003032010
5102000223202402414340
61003031111344340100
730461252035320660
oct2733015412031604
9444655700354140
10103012310201220
112a906303646272
12b678586314630
13456303316a784
141b61b729d38a0
15bd98beb0a830
hex5db06c283384

103012310201220 has 144 divisors (see below), whose sum is σ = 357147248709888. Its totient is φ = 23543171562240.

The previous prime is 103012310201189. The next prime is 103012310201243. The reversal of 103012310201220 is 22102013210301.

103012310201220 is a `hidden beast` number, since 1 + 0 + 301 + 2 + 310 + 20 + 12 + 20 = 666.

It is a super-2 number, since 2×1030123102012202 (a number of 29 digits) contains 22 as substring.

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 = 103012310201193 and 103012310201202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7548642 + ... + 16217478.

It is an arithmetic number, because the mean of its divisors is an integer number (2480189227152).

Almost surely, 2103012310201220 is an apocalyptic number.

103012310201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103012310201220 is an abundant number, since it is smaller than the sum of its proper divisors (254134938508668).

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

103012310201220 is a wasteful number, since it uses less digits than its factorization.

103012310201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678290 (or 8678285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103012310201220 its reverse (22102013210301), we get a palindrome (125114323411521).

The spelling of 103012310201220 in words is "one hundred three trillion, twelve billion, three hundred ten million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9431 18862 28293 37724 47155 56586 66017 84879 94310 113172 132034 141465 169758 188620 198051 264068 282930 330085 339516 396102 424395 565860 594153 660170 792204 848790 990255 1188306 1320340 1697580 1980510 2376612 2970765 3961020 5941530 8668837 11883060 17337674 26006511 34675348 43344185 52013022 60681859 78019533 86688370 104026044 121363718 130032555 156039066 173376740 182045577 242727436 260065110 303409295 312078132 364091154 390097665 520130220 546136731 606818590 728182308 780195330 910227885 1092273462 1213637180 1560390660 1820455770 2184546924 2730683655 3640911540 5461367310 10922734620 81755801747 163511603494 245267405241 327023206988 408779008735 490534810482 572290612229 735802215723 817558017470 981069620964 1144581224458 1226337026205 1471604431446 1635116034940 1716871836687 2289162448916 2452674052410 2861453061145 2943208862892 3433743673374 3679011078615 4905348104820 5150615510061 5722906122290 6867487346748 7358022157230 8584359183435 10301231020122 11445812244580 14716044314460 17168718366870 20602462040244 25753077550305 34337436733740 51506155100610 103012310201220