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101304412122023 = 11219378591386419
BaseRepresentation
bin10111000010001011000101…
…011111111010101110100111
3111021200121101122212000002122
4113002023011133322232213
5101234232414000401043
6555242334321300155
730224000525220305
oct2702130537725647
9437617348760078
10101304412122023
112a307a61707a00
12b44158279465b
13446ac71358a76
141b0323434d275
15baa260c25368
hex5c22c57faba7

101304412122023 has 48 divisors (see below), whose sum is σ = 120519826896000. Its totient is φ = 84790884784320.

The previous prime is 101304412121999. The next prime is 101304412122077. The reversal of 101304412122023 is 320221214403101.

It is a happy number.

It is not a de Polignac number, because 101304412122023 - 26 = 101304412121959 is a prime.

It is a super-2 number, since 2×1013044121220232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101304412121983 and 101304412122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101304412121023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72375908 + ... + 73762326.

It is an arithmetic number, because the mean of its divisors is an integer number (2510829727000).

Almost surely, 2101304412122023 is an apocalyptic number.

101304412122023 is a deficient number, since it is larger than the sum of its proper divisors (19215414773977).

101304412122023 is a wasteful number, since it uses less digits than its factorization.

101304412122023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387356 (or 1387345 counting only the distinct ones).

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

Adding to 101304412122023 its reverse (320221214403101), we get a palindrome (421525626525124).

The spelling of 101304412122023 in words is "one hundred one trillion, three hundred four billion, four hundred twelve million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 11 19 37 121 209 407 703 859 2299 4477 7733 9449 16321 31783 85063 103939 179531 349613 603877 1386419 1974841 3845743 6642647 15250609 26341961 51297503 73069117 167756699 289761571 564272533 974652557 1190933921 3187377281 6206997863 10721178127 13100273131 22627744499 44064555077 117932959397 144103004441 248905189489 484710105847 837226546463 2737957084379 5331811164317 9209492011093 101304412122023