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1003310132220 = 22325113713695197
BaseRepresentation
bin11101001100110011111…
…00011010101111111100
310112220201102000120020200
432212121330122233330
5112414234343212340
62044525254043500
7132325650261204
oct16463174325774
93486642016220
101003310132220
11357557460260
12142546649590
13737c4cb7966
14367bbcdd404
151b17216b330
hexe999f1abfc

1003310132220 has 144 divisors (see below), whose sum is σ = 3409775617248. Its totient is φ = 236652986880.

The previous prime is 1003310132213. The next prime is 1003310132263. The reversal of 1003310132220 is 222310133001.

1003310132220 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 310 + 132 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003310132193 and 1003310132202.

It is a congruent number.

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, 6774339 + ... + 6920858.

It is an arithmetic number, because the mean of its divisors is an integer number (23678997342).

Almost surely, 21003310132220 is an apocalyptic number.

1003310132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003310132220 is an abundant number, since it is smaller than the sum of its proper divisors (2406465485028).

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

1003310132220 is a wasteful number, since it uses less digits than its factorization.

1003310132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13695260 (or 13695255 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1003310132220 its reverse (222310133001), we get a palindrome (1225620265221).

The spelling of 1003310132220 in words is "one trillion, three billion, three hundred ten million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 13695197 27390394 41085591 54780788 68475985 82171182 123256773 136951970 150647167 164342364 205427955 246513546 273903940 301294334 410855910 451941501 493027092 506722289 602588668 616283865 753235835 821711820 903883002 1013444578 1232567730 1355824503 1506471670 1520166867 1807766004 2026889156 2259707505 2465135460 2533611445 2711649006 3012943340 3040333734 4519415010 4560500601 5067222890 5423298012 5573945179 6080667468 6779122515 7600834335 9038830020 9121001202 10134445780 11147890358 13558245030 15201668670 16721835537 18242002404 22295780716 22802503005 27116490060 27869725895 30403337340 33443671074 45605006010 50165506611 55739451790 66887342148 83609177685 91210012020 100331013222 111478903580 167218355370 200662026444 250827533055 334436710740 501655066110 1003310132220