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103030203333132 = 22321031731031155783
BaseRepresentation
bin10111011011010010010110…
…101010111011101000001100
3111111210120222000111002201200
4113123102112222323220030
5102001021324023130012
61003043231052305500
730462454325404215
oct2733222652735014
9444716860432650
10103030203333132
112a912955876099
12b67bb3a772290
1345649251c13aa
141b6298d16240c
15bda0ba9043dc
hex5db496abba0c

103030203333132 has 144 divisors (see below), whose sum is σ = 264744244896768. Its totient is φ = 33780367082880.

The previous prime is 103030203333107. The next prime is 103030203333157. The reversal of 103030203333132 is 231333302030301.

103030203333132 is a `hidden beast` number, since 1 + 0 + 303 + 0 + 20 + 3 + 3 + 331 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (103030203333107) and next prime (103030203333157).

It is a junction number, because it is equal to n+sod(n) for n = 103030203333096 and 103030203333105.

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, 661292113 + ... + 661447895.

It is an arithmetic number, because the mean of its divisors is an integer number (1838501700672).

Almost surely, 2103030203333132 is an apocalyptic number.

103030203333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103030203333132 is an abundant number, since it is smaller than the sum of its proper divisors (161714041563636).

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

103030203333132 is a wasteful number, since it uses less digits than its factorization.

103030203333132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157100 (or 157095 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 103030203333132 its reverse (231333302030301), we get a palindrome (334363505363433).

The spelling of 103030203333132 in words is "one hundred three trillion, thirty billion, two hundred three million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 103 173 206 309 346 412 519 618 692 927 1031 1038 1236 1557 1854 2062 2076 3093 3114 3708 4124 6186 6228 9279 12372 17819 18558 35638 37116 53457 71276 106193 106914 155783 160371 178363 212386 213828 311566 318579 320742 356726 424772 467349 535089 623132 637158 641484 713452 934698 955737 1070178 1274316 1402047 1605267 1869396 1911474 2140356 2804094 3210534 3822948 5608188 6421068 16045649 18371389 26950459 32091298 36742778 48136947 53900918 55114167 64182596 73485556 80851377 96273894 107801836 110228334 144410841 160612273 161702754 165342501 192547788 220456668 242554131 288821682 321224546 323405508 330685002 481836819 485108262 577643364 642449092 661370004 963673638 970216524 1445510457 1927347276 2775897277 2891020914 5551794554 5782041828 8327691831 11103589108 16543064119 16655383662 24983075493 27785923229 33086128238 33310767324 49629192357 49966150986 55571846458 66172256476 83357769687 99258384714 99932301972 111143692916 148887577071 166715539374 198516769428 250073309061 297775154142 333431078748 500146618122 595550308284 1000293236244 2861950092587 5723900185174 8585850277761 11447800370348 17171700555522 25757550833283 34343401111044 51515101666566 103030203333132