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21102111120104 = 2378940131873313
BaseRepresentation
bin1001100110001001101111…
…10101100101101011101000
32202201100020101222021201222
410303010313311211223220
510231214110421320404
6112514102004201212
74305401661666350
oct463046765455350
982640211867658
1021102111120104
1167a639a661893
122449892399208
13ba0bc75714b1
1452d4c1c67b60
15268daad48dbe
hex133137d65ae8

21102111120104 has 128 divisors (see below), whose sum is σ = 45869142931200. Its totient is φ = 8914356633600.

The previous prime is 21102111120073. The next prime is 21102111120121. The reversal of 21102111120104 is 40102111120112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6369485552 + ... + 6369488864.

It is an arithmetic number, because the mean of its divisors is an integer number (358352679150).

Almost surely, 221102111120104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102111120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934571465600).

21102111120104 is an abundant number, since it is smaller than the sum of its proper divisors (24767031811096).

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

21102111120104 is a wasteful number, since it uses less digits than its factorization.

21102111120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21102111120104 its reverse (40102111120112), we get a palindrome (61204222240216).

The spelling of 21102111120104 in words is "twenty-one trillion, one hundred two billion, one hundred eleven million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 401 623 712 802 1246 1604 2492 2807 3187 3208 3313 4984 5614 6374 6626 11228 12748 13252 22309 22456 23191 25496 26504 35689 44618 46382 71378 89236 92764 142756 178472 185528 249823 283643 285512 294857 499646 567286 589714 999292 1134572 1179428 1277987 1328513 1985501 1998584 2063999 2269144 2358856 2555974 2657026 3971002 4127998 5111948 5314052 7942004 8255996 8945909 9299591 10223896 10558531 10628104 15884008 16511992 17891818 18599182 21117062 35783636 37198364 42234124 71567272 73909717 74396728 84468248 113740843 118237657 147819434 227481686 236475314 295638868 454963372 472950628 591277736 796185901 827663599 909926744 939709259 945901256 1592371802 1655327198 1879418518 3184743604 3310654396 3758837036 4233970931 6369487208 6577964813 6621308792 7517674072 8467941862 13155929626 16935883724 26311859252 29637796517 33871767448 52623718504 59275593034 118551186068 237102372136 376823412859 753646825718 1507293651436 2637763890013 3014587302872 5275527780026 10551055560052 21102111120104