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10122210203000 = 2353710114317129
BaseRepresentation
bin1001001101001100001010…
…1111100101010101111000
31022211200012020021210212012
42103103002233211111320
52311320241302444000
633310025033505052
72063206543052240
oct223230257452570
938750166253765
1010122210203000
113252894857395
121175903872188
1358569c2072cc
1426dcbbc0ab20
1512847de7d735
hex934c2be5578

10122210203000 has 128 divisors (see below), whose sum is σ = 27337700707200. Its totient is φ = 3436110720000.

The previous prime is 10122210202991. The next prime is 10122210203011. The reversal of 10122210203000 is 30201222101.

It is a happy number.

10122210203000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6451565 + ... + 7865564.

It is an arithmetic number, because the mean of its divisors is an integer number (213575786775).

Almost surely, 210122210203000 is an apocalyptic number.

10122210203000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122210203000 is an abundant number, since it is smaller than the sum of its proper divisors (17215490504200).

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

10122210203000 is a wasteful number, since it uses less digits than its factorization.

10122210203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14317258 (or 14317244 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10122210203000 its reverse (30201222101), we get a palindrome (10152411425101).

The spelling of 10122210203000 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, two hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 125 140 175 200 202 250 280 350 404 500 505 700 707 808 875 1000 1010 1400 1414 1750 2020 2525 2828 3500 3535 4040 5050 5656 7000 7070 10100 12625 14140 17675 20200 25250 28280 35350 50500 70700 88375 101000 141400 176750 353500 707000 14317129 28634258 57268516 71585645 100219903 114537032 143171290 200439806 286342580 357928225 400879612 501099515 572685160 715856450 801759224 1002199030 1431712900 1446030029 1789641125 2004398060 2505497575 2863425800 2892060058 3579282250 4008796120 5010995150 5784120116 7158564500 7230150145 10021990300 10122210203 11568240232 12527487875 14317129000 14460300290 20043980600 20244420406 25054975750 28920600580 36150750725 40488840812 50109951500 50611051015 57841201160 72301501450 80977681624 100219903000 101222102030 144603002900 180753753625 202444204060 253055255075 289206005800 361507507250 404888408120 506110510150 723015014500 1012221020300 1265276275375 1446030029000 2024442040600 2530552550750 5061105101500 10122210203000