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21130232212122 = 231121012389120623
BaseRepresentation
bin1001100110111110000111…
…11111000010101010011010
32202211000211012202202220120
410303133003333002222122
510232144203421241442
6112535032240534110
74310415565223355
oct463370377025232
982730735682816
1021130232212122
116807310246500
122453220021336
13ba37595a9207
145309cc93929c
152699a4a2e4ec
hex1337c3fc2a9a

21130232212122 has 96 divisors (see below), whose sum is σ = 46931527077120. Its totient is φ = 6336997392000.

The previous prime is 21130232212099. The next prime is 21130232212123. The reversal of 21130232212122 is 22121223203112.

It is a junction number, because it is equal to n+sod(n) for n = 21130232212092 and 21130232212101.

It is not an unprimeable number, because it can be changed into a prime (21130232212123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175115503 + ... + 175236125.

It is an arithmetic number, because the mean of its divisors is an integer number (488870073720).

Almost surely, 221130232212122 is an apocalyptic number.

21130232212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21130232212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23465763538560).

21130232212122 is an abundant number, since it is smaller than the sum of its proper divisors (25801294864998).

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

21130232212122 is a wasteful number, since it uses less digits than its factorization.

21130232212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123140 (or 123129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21130232212122 its reverse (22121223203112), we get a palindrome (43251455415234).

The spelling of 21130232212122 in words is "twenty-one trillion, one hundred thirty billion, two hundred thirty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 2222 2389 3333 4778 6666 7167 12221 14334 24442 26279 36663 52558 73326 78837 120623 157674 241246 241289 289069 361869 482578 578138 723738 723867 867207 1326853 1447734 1734414 2653706 2654179 3980559 5308358 7961118 7962537 12182923 14595383 15925074 24365846 29190766 29195969 36548769 43786149 58391938 73097538 87572298 87587907 134012153 175175814 268024306 288168347 402036459 576336694 804072918 864505041 1474133683 1729010082 2948267366 3169851817 4422401049 6339703634 8844802098 9509555451 19019110902 29105003047 34868369987 58210006094 69736739974 87315009141 104605109961 174630018282 209210219922 320155033517 640310067034 960465100551 1920930201102 3521705368687 7043410737374 10565116106061 21130232212122