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23420422100 = 225271732619
BaseRepresentation
bin10101110011111101…
…110100011111010100
32020110012122201021202
4111303331310133110
5340431112001400
614431552532032
71456244205665
oct256375643724
966405581252
1023420422100
119a29243849
124657551018
13229320103a
1411c268b36c
159211a94d5
hex573f747d4

23420422100 has 108 divisors (see below), whose sum is σ = 52338212640. Its totient is φ = 9094982400.

The previous prime is 23420422093. The next prime is 23420422141. The reversal of 23420422100 is 122402432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37835591 + ... + 37836209.

It is an arithmetic number, because the mean of its divisors is an integer number (484613080).

Almost surely, 223420422100 is an apocalyptic number.

23420422100 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 23420422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26169106320).

23420422100 is an abundant number, since it is smaller than the sum of its proper divisors (28917790540).

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

23420422100 is a wasteful number, since it uses less digits than its factorization.

23420422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23420422100 its reverse (122402432), we get a palindrome (23542824532).

The spelling of 23420422100 in words is "twenty-three billion, four hundred twenty million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 73 100 142 146 284 292 355 365 619 710 730 1238 1420 1460 1775 1825 2476 3095 3550 3650 5183 5329 6190 7100 7300 10366 10658 12380 15475 20732 21316 25915 26645 30950 43949 45187 51830 53290 61900 87898 90374 103660 106580 129575 133225 175796 180748 219745 225935 259150 266450 378359 439490 451870 518300 532900 756718 878980 903740 1098725 1129675 1513436 1891795 2197450 2259350 3208277 3298651 3783590 4394900 4518700 6416554 6597302 7567180 9458975 12833108 13194604 16041385 16493255 18917950 32082770 32986510 37835900 64165540 65973020 80206925 82466275 160413850 164932550 234204221 320827700 329865100 468408442 936816884 1171021105 2342042210 4684084420 5855105525 11710211050 23420422100