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10330103111220 = 22325314145152999
BaseRepresentation
bin1001011001010010101000…
…1000000101111000110100
31100120112210122110202221200
42112110222020011320310
52323222022344024340
633545330040212500
72114216404446414
oct226245210057064
940515718422850
1010330103111220
113322a769a0332
1211aa06276a130
1359c180811b79
14279da027a644
1512da9a2e7330
hex9652a205e34

10330103111220 has 144 divisors (see below), whose sum is σ = 33134355072000. Its totient is φ = 2600812684800.

The previous prime is 10330103111197. The next prime is 10330103111231. The reversal of 10330103111220 is 2211130103301.

10330103111220 is a `hidden beast` number, since 1 + 0 + 330 + 1 + 0 + 3 + 111 + 220 = 666.

It is a super-2 number, since 2×103301031112202 (a number of 27 digits) contains 22 as substring.

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 = 10330103111193 and 10330103111202.

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, 22347720 + ... + 22805279.

It is an arithmetic number, because the mean of its divisors is an integer number (230099688000).

Almost surely, 210330103111220 is an apocalyptic number.

10330103111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330103111220 is an abundant number, since it is smaller than the sum of its proper divisors (22804251960780).

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

10330103111220 is a wasteful number, since it uses less digits than its factorization.

10330103111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45153086 (or 45153081 counting only the distinct ones).

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

Adding to 10330103111220 its reverse (2211130103301), we get a palindrome (12541233214521).

The spelling of 10330103111220 in words is "ten trillion, three hundred thirty billion, one hundred three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 369 372 410 465 492 558 615 620 738 820 930 1116 1230 1271 1395 1476 1845 1860 2460 2542 2790 3690 3813 5084 5580 6355 7380 7626 11439 12710 15252 19065 22878 25420 38130 45756 57195 76260 114390 228780 45152999 90305998 135458997 180611996 225764995 270917994 406376991 451529990 541835988 677294985 812753982 903059980 1354589970 1399742969 1625507964 1851272959 2031884955 2709179940 2799485938 3702545918 4063769910 4199228907 5553818877 5598971876 6998714845 7405091836 8127539820 8398457814 9256364795 11107637754 12597686721 13997429690 16661456631 16796915628 18512729590 20996144535 22215275508 25195373442 27769094385 27994859380 33322913262 37025459180 41992289070 50390746884 55538188770 57389461729 62988433605 66645826524 83307283155 83984578140 111076377540 114778923458 125976867210 166614566310 172168385187 229557846916 251953734420 286947308645 333229132620 344336770374 516505155561 573894617290 688673540748 860841925935 1033010311122 1147789234580 1721683851870 2066020622244 2582525777805 3443367703740 5165051555610 10330103111220