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23410021423100 = 225213709172314741
BaseRepresentation
bin1010101001010100100100…
…00000101101011111111100
310001212222100122101012012012
411110222102000231133330
511032022210441014400
6121442225415430352
74634214103615664
oct524522200553774
9101788318335165
1023410021423100
117506152882664
1227610289853b8
13100a72b700510
145ad0a02551a4
152a8e35bb3d35
hex154a9202d7fc

23410021423100 has 144 divisors (see below), whose sum is σ = 54820095351840. Its totient is φ = 8625914035200.

The previous prime is 23410021423097. The next prime is 23410021423147. The reversal of 23410021423100 is 132412001432.

It is a super-2 number, since 2×234100214231002 (a number of 28 digits) contains 22 as substring.

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, 1588081730 + ... + 1588096470.

It is an arithmetic number, because the mean of its divisors is an integer number (380695106610).

Almost surely, 223410021423100 is an apocalyptic number.

23410021423100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23410021423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27410047675920).

23410021423100 is an abundant number, since it is smaller than the sum of its proper divisors (31410073928740).

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

23410021423100 is a wasteful number, since it uses less digits than its factorization.

23410021423100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17200 (or 17193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 23410021423100 its reverse (132412001432), we get a palindrome (23542433424532).

The spelling of 23410021423100 in words is "twenty-three trillion, four hundred ten billion, twenty-one million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 709 1300 1418 1723 2836 3446 3545 6892 7090 8615 9217 14180 14741 17230 17725 18434 22399 29482 34460 35450 36868 43075 44798 46085 58964 70900 73705 86150 89596 92170 111995 147410 172300 184340 191633 223990 230425 294820 368525 383266 447980 460850 559975 737050 766532 921700 958165 1119950 1221607 1474100 1916330 2239900 2443214 3832660 4790825 4886428 6108035 9581650 10451369 12216070 15880891 19163300 20902738 24432140 25398743 30540175 31761782 41805476 50797486 52256845 61080350 63523564 79404455 101594972 104513690 122160700 126993715 135867797 158808910 209027380 253987430 261284225 271735594 317617820 330183659 397022275 507974860 522568450 543471188 634968575 660367318 679338985 794044550 1045136900 1269937150 1320734636 1358677970 1588089100 1650918295 2539874300 2717355940 3301836590 3396694925 6603673180 6793389850 8254591475 13586779700 16509182950 18007708787 33018365900 36015417574 72030835148 90038543935 180077087870 234100214231 360154175740 450192719675 468200428462 900385439350 936400856924 1170501071155 1800770878700 2341002142310 4682004284620 5852505355775 11705010711550 23410021423100