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10122302102130 = 23253726881113081
BaseRepresentation
bin1001001101001100100000…
…1110001001101001110010
31022211200102122012202202200
42103103020032021221302
52311320433314232010
633310042115324030
72063212040144601
oct223231016115162
938750378182680
1010122302102130
113252931715589
12117592a5b0616
135856b52727aa
1426dcca0cda38
15128487082cc0
hex934c8389a72

10122302102130 has 96 divisors (see below), whose sum is σ = 27030526921008. Its totient is φ = 2626206105600.

The previous prime is 10122302102069. The next prime is 10122302102189. The reversal of 10122302102130 is 3120120322101.

10122302102130 is a `hidden beast` number, since 1 + 0 + 12 + 230 + 210 + 213 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8294590081089 + 1827712021041 = 2880033^2 + 1351929^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89457190 + ... + 89570270.

Almost surely, 210122302102130 is an apocalyptic number.

10122302102130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122302102130 is an abundant number, since it is smaller than the sum of its proper divisors (16908224818878).

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

10122302102130 is a wasteful number, since it uses less digits than its factorization.

10122302102130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140012 (or 140009 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10122302102130 its reverse (3120120322101), we get a palindrome (13242422424231).

The spelling of 10122302102130 in words is "ten trillion, one hundred twenty-two billion, three hundred two million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 26881 53762 80643 113081 134405 161286 226162 241929 268810 339243 403215 483858 565405 678486 806430 994597 1017729 1130810 1209645 1696215 1989194 2035458 2419290 2983791 3392430 4183997 4972985 5088645 5967582 8367994 8951373 9945970 10177290 12551991 14918955 17902746 20919985 25103982 29837910 37655973 41839970 44756865 62759955 75311946 89513730 125519910 188279865 376559730 3039730361 6079460722 9119191083 15198651805 18238382166 27357573249 30397303610 45595955415 54715146498 91191910830 112470023357 136787866245 224940046714 273575732490 337410070071 562350116785 674820140142 1012230210213 1124700233570 1687050350355 2024460420426 3374100700710 5061151051065 10122302102130