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10122313202130 = 2353737012463983
BaseRepresentation
bin1001001101001100100011…
…1000011111100111010010
31022211200110102002201002210
42103103020320133213102
52311320444134432010
633310043153252550
72063212233405243
oct223231070374722
938750412081083
1010122313202130
113252937a07138
121175932264156
135856b765ac3c
1426dccb77ccca
15128488026b20
hex934c8e1f9d2

10122313202130 has 64 divisors (see below), whose sum is σ = 24956885749248. Its totient is φ = 2625619219200.

The previous prime is 10122313202081. The next prime is 10122313202179. The reversal of 10122313202130 is 3120231322101.

10122313202130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122313202081) and next prime (10122313202179).

It is a super-2 number, since 2×101223132021302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122313202097 and 10122313202106.

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, 2876119 + ... + 5340101.

It is an arithmetic number, because the mean of its divisors is an integer number (389951339832).

Almost surely, 210122313202130 is an apocalyptic number.

10122313202130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122313202130 is an abundant number, since it is smaller than the sum of its proper divisors (14834572547118).

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

10122313202130 is a wasteful number, since it uses less digits than its factorization.

10122313202130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467731.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10122313202130 its reverse (3120231322101), we get a palindrome (13242544524231).

The spelling of 10122313202130 in words is "ten trillion, one hundred twenty-two billion, three hundred thirteen million, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 3701 7402 11103 18505 22206 37010 55515 111030 136937 273874 410811 684685 821622 1369370 2054055 2463983 4108110 4927966 7391949 12319915 14783898 24639830 36959745 73919490 91167371 182334742 273502113 455836855 547004226 911673710 1367510565 2735021130 9119201083 18238402166 27357603249 45596005415 54715206498 91192010830 136788016245 273576032490 337410440071 674820880142 1012231320213 1687052200355 2024462640426 3374104400710 5061156601065 10122313202130