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103310120001132 = 223211377199308771
BaseRepresentation
bin10111011111010111000011…
…000000010001111001101100
3111112210100110220002011012200
4113133113003000101321230
5102020113111210014012
61003420003002101500
730521624040001332
oct2737270300217154
9445710426064180
10103310120001132
112aa106374a6850
12b70623a1aa890
1345851442b94a5
141b72344cc9b52
15be24eed863dc
hex5df5c3011e6c

103310120001132 has 144 divisors (see below), whose sum is σ = 296706009809664. Its totient is φ = 30030972048000.

The previous prime is 103310120001103. The next prime is 103310120001241. The reversal of 103310120001132 is 231100021013301.

103310120001132 is a `hidden beast` number, since 1 + 0 + 331 + 0 + 1 + 200 + 0 + 1 + 132 = 666.

It is a super-2 number, since 2×1033101200011322 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48614094 + ... + 50694677.

It is an arithmetic number, because the mean of its divisors is an integer number (2060458401456).

Almost surely, 2103310120001132 is an apocalyptic number.

103310120001132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103310120001132 is an abundant number, since it is smaller than the sum of its proper divisors (193395889808532).

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

103310120001132 is a wasteful number, since it uses less digits than its factorization.

103310120001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99308900 (or 99308895 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103310120001132 its reverse (231100021013301), we get a palindrome (334410141014433).

The spelling of 103310120001132 in words is "one hundred three trillion, three hundred ten billion, one hundred twenty million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 71 74 99 111 132 142 148 198 213 222 284 333 396 407 426 444 639 666 781 814 852 1221 1278 1332 1562 1628 2343 2442 2556 2627 3124 3663 4686 4884 5254 7029 7326 7881 9372 10508 14058 14652 15762 23643 28116 28897 31524 47286 57794 86691 94572 115588 173382 260073 346764 520146 1040292 99308771 198617542 297926313 397235084 595852626 893778939 1092396481 1191705252 1787557878 2184792962 3277189443 3575115756 3674424527 4369585924 6554378886 7050922741 7348849054 9831568329 11023273581 13108757772 14101845482 14697698108 19663136658 21152768223 22046547162 28203690964 33069820743 39326273316 40418669797 42305536446 44093094324 63458304669 66139641486 77560150151 80837339594 84611072892 121256009391 126916609338 132279282972 155120300302 161674679188 232680450453 242512018782 253833218676 260884141417 310240600604 363768028173 465360900906 485024037564 521768282834 698041351359 727536056346 782652424251 930721801812 1043536565668 1396082702718 1455072112692 1565304848502 2347957272753 2792165405436 2869725555587 3130609697004 4695914545506 5739451111174 8609176666761 9391829091012 11478902222348 17218353333522 25827530000283 34436706667044 51655060000566 103310120001132