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103221043002 = 232721129713581
BaseRepresentation
bin110000000100001110…
…1000001111100111010
3100212102122121021120200
41200020131001330322
53142344041334002
6115230305103030
710312625250300
oct1401035017472
9325378537520
10103221043002
113a859651410
1218008627a76
13996cc3834c
144dd2b66270
152a41de2b1c
hex1808741f3a

103221043002 has 144 divisors (see below), whose sum is σ = 283984799904. Its totient is φ = 26794152000.

The previous prime is 103221042971. The next prime is 103221043007. The reversal of 103221043002 is 200340122301.

103221043002 is a `hidden beast` number, since 10 + 3 + 221 + 0 + 430 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103221043007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28822852 + ... + 28826432.

It is an arithmetic number, because the mean of its divisors is an integer number (1972116666).

Almost surely, 2103221043002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103221043002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141992399952).

103221043002 is an abundant number, since it is smaller than the sum of its proper divisors (180763756902).

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

103221043002 is a wasteful number, since it uses less digits than its factorization.

103221043002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103221043002 its reverse (200340122301), we get a palindrome (303561165303).

The spelling of 103221043002 in words is "one hundred three billion, two hundred twenty-one million, forty-three thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 2971 3234 3581 4851 5942 7162 8913 9702 10743 17826 20797 21486 25067 26739 32229 32681 39391 41594 50134 53478 62391 64458 65362 75201 78782 98043 118173 124782 145579 150402 175469 187173 196086 225603 228767 236346 275737 291158 294129 350938 354519 374346 436737 451206 457534 526407 551474 588258 686301 709038 827211 873474 1052814 1310211 1372602 1579221 1601369 1654422 1930159 2058903 2481633 2620422 3158442 3202738 3860318 4117806 4804107 4963266 5790477 9608214 10639151 11580954 14412321 17371431 21278302 28824642 31917453 34742862 63834906 74474057 95752359 117030661 148948114 191504718 223422171 234061322 351091983 446844342 521318399 670266513 702183966 819214627 1042636798 1053275949 1340533026 1563955197 1638429254 2106551898 2457643881 3127910394 4691865591 4915287762 5734502389 7372931643 9383731182 11469004778 14745863286 17203507167 34407014334 51610521501 103221043002