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1003110021320 = 235111926315223
BaseRepresentation
bin11101001100011100000…
…01000011100011001000
310112220012110110212200212
432212032001003203020
5112413332131140240
62044453345020252
7132321000332411
oct16461601034310
93486173425625
101003110021320
11357464501a50
121424ab624688
13737926c2044
143679d4cc808
151b15e7de165
hexe98e0438c8

1003110021320 has 96 divisors (see below), whose sum is σ = 2598588371520. Its totient is φ = 345568947840.

The previous prime is 1003110021313. The next prime is 1003110021341. The reversal of 1003110021320 is 231200113001.

It is a super-2 number, since 2×10031100213202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003110021295 and 1003110021304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2998772 + ... + 3316451.

It is an arithmetic number, because the mean of its divisors is an integer number (27068628870).

Almost surely, 21003110021320 is an apocalyptic number.

1003110021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003110021320 is an abundant number, since it is smaller than the sum of its proper divisors (1595478350200).

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

1003110021320 is a wasteful number, since it uses less digits than its factorization.

1003110021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315283 (or 6315260 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1003110021320 its reverse (231200113001), we get a palindrome (1234310134321).

The spelling of 1003110021320 in words is "one trillion, three billion, one hundred ten million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 361 380 418 440 722 760 836 1045 1444 1672 1805 2090 2888 3610 3971 4180 7220 7942 8360 14440 15884 19855 31768 39710 79420 158840 6315223 12630446 25260892 31576115 50521784 63152230 69467453 119989237 126304460 138934906 239978474 252608920 277869812 347337265 479956948 555739624 599946185 694674530 959913896 1199892370 1319881607 1389349060 2279795503 2399784740 2639763214 2778698120 4559591006 4799569480 5279526428 6599408035 9119182012 10559052856 11398977515 13198816070 18238364024 22797955030 25077750533 26397632140 45595910060 50155501066 52795264280 91191820120 100311002132 125388752665 200622004264 250777505330 501555010660 1003110021320