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23342241430100 = 225217291107142767
BaseRepresentation
bin1010100111010110010100…
…00000100011101001010100
310001122111101221100210102002
411103223022000203221110
511024414402301230400
6121351135551134432
74626264334313645
oct523531200435124
9101574357323362
1023342241430100
11748a43083571a
12274ba71514418
1310042191a0b98
145a9ab04076cc
152a72ba422ed5
hex153aca023a54

23342241430100 has 144 divisors (see below), whose sum is σ = 55487928545280. Its totient is φ = 8483679590400.

The previous prime is 23342241430043. The next prime is 23342241430121. The reversal of 23342241430100 is 103414224332.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 545778917 + ... + 545821683.

It is an arithmetic number, because the mean of its divisors is an integer number (385332837120).

Almost surely, 223342241430100 is an apocalyptic number.

23342241430100 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 23342241430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27743964272640).

23342241430100 is an abundant number, since it is smaller than the sum of its proper divisors (32145687115180).

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

23342241430100 is a wasteful number, since it uses less digits than its factorization.

23342241430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53898 (or 53891 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 23342241430100 its reverse (103414224332), we get a palindrome (23445655654432).

The spelling of 23342241430100 in words is "twenty-three trillion, three hundred forty-two billion, two hundred forty-one million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 11071 12325 22142 24650 42767 44284 49300 55355 85534 110710 171068 188207 213835 221420 276775 321059 376414 427670 553550 642118 727039 752828 855340 941035 1069175 1107100 1240243 1284236 1454078 1605295 1882070 2138350 2480486 2908156 3210590 3635195 3764140 4276700 4705175 4960972 5458003 6201215 6421180 7270390 8026475 9410350 10916006 12402430 14540780 16052950 18175975 18820700 21084131 21832012 24804860 27290015 31006075 32105900 36351950 42168262 54580030 62012150 72703900 84336524 105420655 109160060 124024300 136450075 210841310 272900150 421682620 473473457 527103275 545800300 946946914 1054206550 1893893828 2108413100 2367367285 4734734570 8049048769 9469469140 11836836425 13730730253 16098097538 23673672850 27461460506 32196195076 40245243845 47347345700 54922921012 68653651265 80490487690 137307302530 160980975380 201226219225 233422414301 274614605060 343268256325 402452438450 466844828602 686536512650 804904876900 933689657204 1167112071505 1373073025300 2334224143010 4668448286020 5835560357525 11671120715050 23342241430100