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10220113110120 = 2335397967221849
BaseRepresentation
bin1001010010111000111000…
…1101100010010001101000
31100012000220020212210111020
42110232032031202101220
52314421242424010440
633423015524532440
72103243634042314
oct224561615422150
940160806783436
1010220113110120
11329036445a581
121190887251120
135919a2406194
1427492853ab44
1512acae0273d0
hex94b8e362468

10220113110120 has 128 divisors (see below), whose sum is σ = 30769494624000. Its totient is φ = 2715675088896.

The previous prime is 10220113110101. The next prime is 10220113110161. The reversal of 10220113110120 is 2101131102201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10220113110120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45956956 + ... + 46178804.

It is an arithmetic number, because the mean of its divisors is an integer number (240386676750).

Almost surely, 210220113110120 is an apocalyptic number.

10220113110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220113110120 is an abundant number, since it is smaller than the sum of its proper divisors (20549381513880).

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

10220113110120 is a wasteful number, since it uses less digits than its factorization.

10220113110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223227 (or 223223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10220113110120 its reverse (2101131102201), we get a palindrome (12321244212321).

The spelling of 10220113110120 in words is "ten trillion, two hundred twenty billion, one hundred thirteen million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 397 794 967 1191 1588 1934 1985 2382 2901 3176 3868 3970 4764 4835 5802 5955 7736 7940 9528 9670 11604 11910 14505 15880 19340 23208 23820 29010 38680 47640 58020 116040 221849 383899 443698 665547 767798 887396 1109245 1151697 1331094 1535596 1774792 1919495 2218490 2303394 2662188 3071192 3327735 3838990 4436980 4606788 5324376 5758485 6655470 7677980 8873960 9213576 11516970 13310940 15355960 23033940 26621880 46067880 88074053 176148106 214527983 264222159 352296212 429055966 440370265 528444318 643583949 704592424 858111932 880740530 1056888636 1072639915 1287167898 1321110795 1716223864 1761481060 2113777272 2145279830 2574335796 2642221590 3217919745 3522962120 4290559660 5148671592 5284443180 6435839490 8581119320 10568886360 12871678980 25743357960 85167609251 170335218502 255502827753 340670437004 425838046255 511005655506 681340874008 851676092510 1022011311012 1277514138765 1703352185020 2044022622024 2555028277530 3406704370040 5110056555060 10220113110120