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22211010120 = 23351361233407
BaseRepresentation
bin10100101011111000…
…010001111001001000
32010022220221012221110
4110223320101321020
5330442004310440
614111551010320
71414260320355
oct245370217110
963286835843
1022211010120
119468599712
12437a5099a0
13212c792850
141109bcb62c
1589ee10080
hex52be11e48

22211010120 has 128 divisors (see below), whose sum is σ = 72935331840. Its totient is φ = 5377674240.

The previous prime is 22211010113. The next prime is 22211010121. The reversal of 22211010120 is 2101011222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22211010096 and 22211010105.

It is not an unprimeable number, because it can be changed into a prime (22211010121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21544 + ... + 211863.

It is an arithmetic number, because the mean of its divisors is an integer number (569807280).

Almost surely, 222211010120 is an apocalyptic number.

22211010120 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 22211010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36467665920).

22211010120 is an abundant number, since it is smaller than the sum of its proper divisors (50724321720).

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

22211010120 is a wasteful number, since it uses less digits than its factorization.

22211010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233495 (or 233491 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22211010120 its reverse (2101011222), we get a palindrome (24312021342).

The spelling of 22211010120 in words is "twenty-two billion, two hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 244 260 305 312 366 390 488 520 610 732 780 793 915 1220 1464 1560 1586 1830 2379 2440 3172 3660 3965 4758 6344 7320 7930 9516 11895 15860 19032 23790 31720 47580 95160 233407 466814 700221 933628 1167035 1400442 1867256 2334070 2800884 3034291 3501105 4668140 5601768 6068582 7002210 9102873 9336280 12137164 14004420 14237827 15171455 18205746 24274328 28008840 28475654 30342910 36411492 42713481 45514365 56951308 60685820 71189135 72822984 85426962 91028730 113902616 121371640 142378270 170853924 182057460 185091751 213567405 284756540 341707848 364114920 370183502 427134810 555275253 569513080 740367004 854269620 925458755 1110550506 1480734008 1708539240 1850917510 2221101012 2776376265 3701835020 4442202024 5552752530 7403670040 11105505060 22211010120