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23103401213442 = 231119173424125111
BaseRepresentation
bin1010100000011001011100…
…00001011011111000000010
310000210122220202100200001210
411100030232001123320002
511012011231202312232
6121045320032310550
74603110551054454
oct520145601337002
9100718822320053
1023103401213442
1173a8108753910
1227117163a2456
13cb78451825b4
1459c2d3bba2d4
152a0e8c20b5cc
hex15032e05be02

23103401213442 has 128 divisors (see below), whose sum is σ = 53381860116480. Its totient is φ = 6592399488000.

The previous prime is 23103401213429. The next prime is 23103401213443. The reversal of 23103401213442 is 24431210430132.

It is not an unprimeable number, because it can be changed into a prime (23103401213443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 920038467 + ... + 920063577.

It is an arithmetic number, because the mean of its divisors is an integer number (417045782160).

Almost surely, 223103401213442 is an apocalyptic number.

23103401213442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23103401213442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26690930058240).

23103401213442 is an abundant number, since it is smaller than the sum of its proper divisors (30278458903038).

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

23103401213442 is a wasteful number, since it uses less digits than its factorization.

23103401213442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29560.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 23103401213442 its reverse (24431210430132), we get a palindrome (47534611643574).

The spelling of 23103401213442 in words is "twenty-three trillion, one hundred three billion, four hundred one million, two hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 173 209 346 418 519 627 1038 1254 1903 3287 3806 4241 5709 6574 8482 9861 11418 12723 19722 25111 25446 36157 46651 50222 72314 75333 80579 93302 108471 139953 150666 161158 216942 241737 276221 279906 477109 483474 552442 733693 828663 886369 954218 1431327 1467386 1657326 1772738 2201079 2659107 2862654 4344203 4402158 5248199 5318214 8070623 8688406 10496398 13032609 13940167 15744597 16141246 24211869 26065218 27880334 31489194 41820501 47786233 48423738 82539857 83641002 95572466 106495751 143358699 153341837 165079714 212991502 247619571 286717398 306683674 319487253 460025511 495239142 638974506 907938427 920051022 1171453261 1815876854 2023419269 2342906522 2723815281 3514359783 4046838538 5447630562 6070257807 7028719566 12140515614 18423764923 22257611959 36847529846 44515223918 55271294769 66772835877 110542589538 133545671754 202661414153 350051533537 405322828306 607984242459 700103067074 1050154600611 1215968484918 2100309201222 3850566868907 7701133737814 11551700606721 23103401213442