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210022131012320 = 25511188596327523
BaseRepresentation
bin101111110000001110010110…
…100000111001001011100000
31000112121220211102021012222202
4233300032112200321023200
5210012000311014343240
62022402500210552332
762144412123325664
oct5760162640711340
91015556742235882
10210022131012320
1160a129817664a0
121b67b8428986a8
13902600444a863
1439c11a80788a4
151943256d8e315
hexbf03968392e0

210022131012320 has 96 divisors (see below), whose sum is σ = 541313097575040. Its totient is φ = 76367622320640.

The previous prime is 210022131012301. The next prime is 210022131012479. The reversal of 210022131012320 is 23210131220012.

It is a super-2 number, since 2×2100221310123202 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 210022131012292 and 210022131012301.

It is a congruent number.

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, 30028079 + ... + 36355601.

It is an arithmetic number, because the mean of its divisors is an integer number (5638678099740).

Almost surely, 2210022131012320 is an apocalyptic number.

210022131012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022131012320 is an abundant number, since it is smaller than the sum of its proper divisors (331290966562720).

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

210022131012320 is a wasteful number, since it uses less digits than its factorization.

210022131012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346408 (or 6346400 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 210022131012320 its reverse (23210131220012), we get a palindrome (233232262232332).

The spelling of 210022131012320 in words is "two hundred ten trillion, twenty-two billion, one hundred thirty-one million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 18859 37718 75436 94295 150872 188590 207449 301744 377180 414898 603488 754360 829796 1037245 1508720 1659592 2074490 3017440 3319184 4148980 6327523 6638368 8297960 12655046 16595920 25310092 31637615 33191840 50620184 63275230 69602753 101240368 126550460 139205506 202480736 253100920 278411012 348013765 506201840 556822024 696027530 1012403680 1113644048 1392055060 2227288096 2784110120 5568220240 11136440480 119330756257 238661512514 477323025028 596653781285 954646050056 1193307562570 1312638318827 1909292100112 2386615125140 2625276637654 3818584200224 4773230250280 5250553275308 6563191594135 9546460500560 10501106550616 13126383188270 19092921001120 21002213101232 26252766376540 42004426202464 52505532753080 105011065506160 210022131012320