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210000021121020 = 2235131914170041911
BaseRepresentation
bin101111101111111001110000…
…101010010110011111111100
31000112112210202112121100222210
4233233321300222112133330
5210011120020401333040
62022344402231140420
762143000201340334
oct5757716052263774
91015483675540883
10210000021121020
1160a04566262959
121b6774b2214710
139023bbc900b40
1439c00ab8900c4
1519428b0ca5480
hexbefe70a967fc

210000021121020 has 96 divisors (see below), whose sum is σ = 666558771540480. Its totient is φ = 48971664840960.

The previous prime is 210000021120983. The next prime is 210000021121027. The reversal of 210000021121020 is 20121120000012.

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 = 210000021120987 and 210000021121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210000021121027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7085006136 + ... + 7085035775.

It is an arithmetic number, because the mean of its divisors is an integer number (6943320536880).

Almost surely, 2210000021121020 is an apocalyptic number.

210000021121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000021121020 is an abundant number, since it is smaller than the sum of its proper divisors (456558750419460).

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

210000021121020 is a wasteful number, since it uses less digits than its factorization.

210000021121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14170041955 (or 14170041953 counting only the distinct ones).

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

Adding to 210000021121020 its reverse (20121120000012), we get a palindrome (230121141121032).

The spelling of 210000021121020 in words is "two hundred ten trillion, twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 14170041911 28340083822 42510125733 56680167644 70850209555 85020251466 141700419110 170040502932 184210544843 212550628665 269230796309 283400838220 368421089686 425101257330 538461592618 552631634529 736842179372 807692388927 850202514660 921052724215 1076923185236 1105263269058 1346153981545 1615384777854 1842105448430 2210526538116 2692307963090 2763158172645 3230769555708 3500000352017 3684210896860 4038461944635 5384615926180 5526316345290 7000000704034 8076923889270 10500001056051 11052632690580 14000001408068 16153847778540 17500001760085 21000002112102 35000003520170 42000004224204 52500005280255 70000007040340 105000010560510 210000021121020