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23211312120 = 23325371742591
BaseRepresentation
bin10101100111100000…
…001000001111111000
32012220122011211022200
4111213200020033320
5340014043441440
614355122550200
71451124616623
oct254740101770
965818154280
1023211312120
1199311a9387
1245b9508360
13225baa7319
1411a29b6dba
1590cb50c30
hex5678083f8

23211312120 has 96 divisors (see below), whose sum is σ = 77475640320. Its totient is φ = 6022391040.

The previous prime is 23211312101. The next prime is 23211312143. The reversal of 23211312120 is 2121311232.

23211312120 is a `hidden beast` number, since 2 + 321 + 131 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23211312093 and 23211312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857976 + ... + 884615.

It is an arithmetic number, because the mean of its divisors is an integer number (807037920).

Almost surely, 223211312120 is an apocalyptic number.

23211312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23211312120 is an abundant number, since it is smaller than the sum of its proper divisors (54264328200).

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

23211312120 is a wasteful number, since it uses less digits than its factorization.

23211312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742645 (or 1742638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23211312120 its reverse (2121311232), we get a palindrome (25332623352).

The spelling of 23211312120 in words is "twenty-three billion, two hundred eleven million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 1742591 3485182 5227773 6970364 8712955 10455546 13940728 15683319 17425910 20911092 26138865 31366638 34851820 41822184 52277730 62733276 64475867 69703640 78416595 104555460 125466552 128951734 156833190 193427601 209110920 257903468 313666380 322379335 386855202 515806936 580282803 627332760 644758670 773710404 967138005 1160565606 1289517340 1547420808 1934276010 2321131212 2579034680 2901414015 3868552020 4642262424 5802828030 7737104040 11605656060 23211312120