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22031001120 = 2535130735117
BaseRepresentation
bin10100100001001001…
…100110011000100000
32002212101012211000110
4110201021212120200
5330104414013440
614042040451320
71406643263652
oct244111463040
962771184013
1022031001120
119385a20247
12432a179b40
1321013b784b
1410cdd306d2
1588e204080
hex521266620

22031001120 has 96 divisors (see below), whose sum is σ = 69452728128. Its totient is φ = 5870271488.

The previous prime is 22031001103. The next prime is 22031001137. The reversal of 22031001120 is 2110013022.

It is an interprime number because it is at equal distance from previous prime (22031001103) and next prime (22031001137).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 22031001096 and 22031001105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609802 + ... + 644918.

It is an arithmetic number, because the mean of its divisors is an integer number (723465918).

Almost surely, 222031001120 is an apocalyptic number.

22031001120 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 22031001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34726364064).

22031001120 is an abundant number, since it is smaller than the sum of its proper divisors (47421727008).

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

22031001120 is a wasteful number, since it uses less digits than its factorization.

22031001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36442 (or 36434 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22031001120 its reverse (2110013022), we get a palindrome (24141014142).

The spelling of 22031001120 in words is "twenty-two billion, thirty-one million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1307 2614 3921 5228 6535 7842 10456 13070 15684 19605 20912 26140 31368 35117 39210 41824 52280 62736 70234 78420 104560 105351 125472 140468 156840 175585 209120 210702 280936 313680 351170 421404 526755 561872 627360 702340 842808 1053510 1123744 1404680 1685616 2107020 2809360 3371232 4214040 5618720 8428080 16856160 45897919 91795838 137693757 183591676 229489595 275387514 367183352 458979190 550775028 688468785 734366704 917958380 1101550056 1376937570 1468733408 1835916760 2203100112 2753875140 3671833520 4406200224 5507750280 7343667040 11015500560 22031001120