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23131103220 = 223252331180233
BaseRepresentation
bin10101100010101110…
…001001111111110100
32012201001020210101200
4111202232021333310
5334333030300340
614343135452500
71446132063501
oct254256117764
965631223350
1023131103220
11989a9a5235
124596687130
1322482a2b34
1411960984a8
15905aaa330
hex562b89ff4

23131103220 has 144 divisors (see below), whose sum is σ = 75577162752. Its totient is φ = 5709749760.

The previous prime is 23131103137. The next prime is 23131103263. The reversal of 23131103220 is 2230113132.

23131103220 is a `hidden beast` number, since 2 + 31 + 311 + 0 + 322 + 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 = 23131103193 and 23131103202.

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, 38224 + ... + 218456.

It is an arithmetic number, because the mean of its divisors is an integer number (524841408).

Almost surely, 223131103220 is an apocalyptic number.

23131103220 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 23131103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37788581376).

23131103220 is an abundant number, since it is smaller than the sum of its proper divisors (52446059532).

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

23131103220 is a wasteful number, since it uses less digits than its factorization.

23131103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180302 (or 180297 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23131103220 its reverse (2230113132), we get a palindrome (25361216352).

The spelling of 23131103220 in words is "twenty-three billion, one hundred thirty-one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 414 460 465 558 620 690 713 828 930 1035 1116 1380 1395 1426 1860 2070 2139 2790 2852 3565 4140 4278 5580 6417 7130 8556 10695 12834 14260 21390 25668 32085 42780 64170 128340 180233 360466 540699 720932 901165 1081398 1622097 1802330 2162796 2703495 3244194 3604660 4145359 5406990 5587223 6488388 8110485 8290718 10813980 11174446 12436077 16220970 16581436 16761669 20726795 22348892 24872154 27936115 32441940 33523338 37308231 41453590 49744308 50285007 55872230 62180385 67046676 74616462 82907180 83808345 100570014 111744460 124360770 128506129 149232924 167616690 186541155 201140028 248721540 251425035 257012258 335233380 373082310 385518387 502850070 514024516 642530645 746164620 771036774 1005700140 1156555161 1285061290 1542073548 1927591935 2313110322 2570122580 3855183870 4626220644 5782775805 7710367740 11565551610 23131103220