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101220233421104 = 24717137388042973
BaseRepresentation
bin10111000000111100101100…
…000011101010000100110000
3111021101120010002202221001222
4113000330230003222010300
5101231343014223433404
6555135533331444212
730214630513114220
oct2700745403520460
9437346102687058
10101220233421104
112a285294a61a96
12b4291ab456668
134463047594a75
141add12a624080
15ba7e85982dbe
hex5c0f2c0ea130

101220233421104 has 80 divisors (see below), whose sum is σ = 239046889359168. Its totient is φ = 40530312339456.

The previous prime is 101220233421071. The next prime is 101220233421137. The reversal of 101220233421104 is 401124332022101.

It is a happy number.

101220233421104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101220233421071) and next prime (101220233421137).

It is a super-3 number, since 3×1012202334211043 (a number of 43 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 193760639 + ... + 194282334.

Almost surely, 2101220233421104 is an apocalyptic number.

101220233421104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101220233421104 is an abundant number, since it is smaller than the sum of its proper divisors (137826655938064).

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

101220233421104 is a wasteful number, since it uses less digits than its factorization.

101220233421104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388043142 (or 388043136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 101220233421104 its reverse (401124332022101), we get a palindrome (502344565443205).

The spelling of 101220233421104 in words is "one hundred one trillion, two hundred twenty billion, two hundred thirty-three million, four hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 137 238 272 274 476 548 952 959 1096 1904 1918 2192 2329 3836 4658 7672 9316 15344 16303 18632 32606 37264 65212 130424 260848 388042973 776085946 1552171892 2716300811 3104343784 5432601622 6208687568 6596730541 10865203244 13193461082 21730406488 26386922164 43460812976 46177113787 52773844328 53161887301 92354227574 105547688656 106323774602 184708455148 212647549204 369416910296 372133211107 425295098408 738833820592 744266422214 850590196816 903752084117 1488532844428 1807504168234 2977065688856 3615008336468 5954131377712 6326264588819 7230016672936 12652529177638 14460033345872 25305058355276 50610116710552 101220233421104