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23041211220 = 223259712710391
BaseRepresentation
bin10101011101010111…
…001111101101010100
32012110210002210202100
4111131113033231110
5334142022224340
614330205042100
71443661030626
oct253527175524
965423083670
1023041211220
119854188025
124570556330
13223278b0c1
141188178c16
158ecc50830
hex55d5cfb54

23041211220 has 144 divisors (see below), whose sum is σ = 71175057408. Its totient is φ = 6032517120.

The previous prime is 23041211107. The next prime is 23041211257. The reversal of 23041211220 is 2211214032.

It is a happy number.

23041211220 is a `hidden beast` number, since 2 + 30 + 412 + 1 + 1 + 220 = 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 = 23041211193 and 23041211202.

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, 2212225 + ... + 2222615.

It is an arithmetic number, because the mean of its divisors is an integer number (494271232).

Almost surely, 223041211220 is an apocalyptic number.

23041211220 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 23041211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35587528704).

23041211220 is an abundant number, since it is smaller than the sum of its proper divisors (48133846188).

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

23041211220 is a wasteful number, since it uses less digits than its factorization.

23041211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630 (or 10625 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23041211220 its reverse (2211214032), we get a palindrome (25252425252).

The spelling of 23041211220 in words is "twenty-three billion, forty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 127 180 194 254 291 381 388 485 508 582 635 762 873 970 1143 1164 1270 1455 1524 1746 1905 1940 2286 2540 2910 3492 3810 4365 4572 5715 5820 7620 8730 10391 11430 12319 17460 20782 22860 24638 31173 36957 41564 49276 51955 61595 62346 73914 93519 103910 110871 123190 124692 147828 155865 184785 187038 207820 221742 246380 311730 369570 374076 443484 467595 554355 623460 739140 935190 1007927 1108710 1319657 1870380 2015854 2217420 2639314 3023781 3958971 4031708 5039635 5278628 6047562 6598285 7917942 9071343 10079270 11876913 12095124 13196570 15118905 15835884 18142686 19794855 20158540 23753826 26393140 30237810 36285372 39589710 45356715 47507652 59384565 60475620 79179420 90713430 118769130 128006729 181426860 237538260 256013458 384020187 512026916 640033645 768040374 1152060561 1280067290 1536080748 1920100935 2304121122 2560134580 3840201870 4608242244 5760302805 7680403740 11520605610 23041211220