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22123031100 = 223521071315261
BaseRepresentation
bin10100100110101000…
…101010101000111100
32010002210101102102020
4110212220222220330
5330301443443400
614055125200140
71412141442642
oct244650525074
963083342366
1022123031100
119422968785
124354b60050
13211749a761
1410dc249192
158973322a0
hex526a2aa3c

22123031100 has 144 divisors (see below), whose sum is σ = 65113082496. Its totient is φ = 5798624000.

The previous prime is 22123031059. The next prime is 22123031129. The reversal of 22123031100 is 113032122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22123031100.

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, 4202470 + ... + 4207730.

It is an arithmetic number, because the mean of its divisors is an integer number (452174184).

Almost surely, 222123031100 is an apocalyptic number.

22123031100 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 22123031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32556541248).

22123031100 is an abundant number, since it is smaller than the sum of its proper divisors (42990051396).

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

22123031100 is a wasteful number, since it uses less digits than its factorization.

22123031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22123031100 its reverse (113032122), we get a palindrome (22236063222).

The spelling of 22123031100 in words is "twenty-two billion, one hundred twenty-three million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 131 150 214 262 300 321 393 428 524 535 642 655 786 1070 1284 1310 1572 1605 1965 2140 2620 2675 3210 3275 3930 5261 5350 6420 6550 7860 8025 9825 10522 10700 13100 14017 15783 16050 19650 21044 26305 28034 31566 32100 39300 42051 52610 56068 63132 70085 78915 84102 105220 131525 140170 157830 168204 210255 263050 280340 315660 350425 394575 420510 526100 562927 689191 700850 789150 841020 1051275 1125854 1378382 1401700 1578300 1688781 2067573 2102550 2251708 2756764 2814635 3377562 3445955 4135146 4205100 5629270 6755124 6891910 8270292 8443905 10337865 11258540 13783820 14073175 16887810 17229775 20675730 28146350 33775620 34459550 41351460 42219525 51689325 56292700 68919100 73743437 84439050 103378650 147486874 168878100 206757300 221230311 294973748 368717185 442460622 737434370 884921244 1106151555 1474868740 1843585925 2212303110 3687171850 4424606220 5530757775 7374343700 11061515550 22123031100