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23102213022300 = 22352414674021903
BaseRepresentation
bin1010100000010111001110…
…01100110110001001011100
310000210112211221120022020110
411100023213030312021130
511012001313013203200
6121045002105250020
74603036242441366
oct520134714661134
9100715757508213
1023102213022300
1173a7658a83265
122711444493910
13cb76b5c64109
1459c220081d36
152a0e1cc54b50
hex1502e733625c

23102213022300 has 144 divisors (see below), whose sum is σ = 68619345080832. Its totient is φ = 5997460262400.

The previous prime is 23102213022263. The next prime is 23102213022389. The reversal of 23102213022300 is 322031220132.

It is a happy number.

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, 3733149 + ... + 7755051.

It is an arithmetic number, because the mean of its divisors is an integer number (476523229728).

Almost surely, 223102213022300 is an apocalyptic number.

23102213022300 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 23102213022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34309672540416).

23102213022300 is an abundant number, since it is smaller than the sum of its proper divisors (45517132058532).

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

23102213022300 is a wasteful number, since it uses less digits than its factorization.

23102213022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022428 (or 4022421 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23102213022300 its reverse (322031220132), we get a palindrome (23424244242432).

The spelling of 23102213022300 in words is "twenty-three trillion, one hundred two billion, two hundred thirteen million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 467 492 615 820 934 1025 1230 1401 1868 2050 2335 2460 2802 3075 4100 4670 5604 6150 7005 9340 11675 12300 14010 19147 23350 28020 35025 38294 46700 57441 70050 76588 95735 114882 140100 191470 229764 287205 382940 478675 574410 957350 1148820 1436025 1914700 2872050 4021903 5744100 8043806 12065709 16087612 20109515 24131418 40219030 48262836 60328545 80438060 100547575 120657090 164898023 201095150 241314180 301642725 329796046 402190300 494694069 603285450 659592092 824490115 989388138 1206570900 1648980230 1878228701 1978776276 2473470345 3297960460 3756457402 4122450575 4946940690 5634686103 7512914804 8244901150 9391143505 9893881380 11269372206 12367351725 16489802300 18782287010 22538744412 24734703450 28173430515 37564574020 46955717525 49469406900 56346861030 77007376741 93911435050 112693722060 140867152575 154014753482 187822870100 231022130223 281734305150 308029506964 385036883705 462044260446 563468610300 770073767410 924088520892 1155110651115 1540147534820 1925184418525 2310221302230 3850368837050 4620442604460 5775553255575 7700737674100 11551106511150 23102213022300