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10332142110234 = 2327282631417699
BaseRepresentation
bin1001011001011010001110…
…1010010000011000011010
31100120202001202012122202200
42112112203222100120122
52323240211340011414
633550304235111030
72114321053610100
oct226264352203032
940522052178680
1010332142110234
11332392295448a
1211aa5315a2476
1359c417092269
1427a114da7c70
1512db69310109
hex965a3a9061a

10332142110234 has 72 divisors (see below), whose sum is σ = 26044385234400. Its totient is φ = 2951681260752.

The previous prime is 10332142110197. The next prime is 10332142110281. The reversal of 10332142110234 is 43201124123301.

10332142110234 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 1 + 421 + 1 + 0 + 234 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10332142110198 and 10332142110207.

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 35 ways as a sum of consecutive naturals, for example, 6579117 + ... + 7996815.

It is an arithmetic number, because the mean of its divisors is an integer number (361727572700).

Almost surely, 210332142110234 is an apocalyptic number.

10332142110234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10332142110234 is an abundant number, since it is smaller than the sum of its proper divisors (15712243124166).

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

10332142110234 is a wasteful number, since it uses less digits than its factorization.

10332142110234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425984 (or 1425974 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10332142110234 its reverse (43201124123301), we get a palindrome (53533266233535).

The spelling of 10332142110234 in words is "ten trillion, three hundred thirty-two billion, one hundred forty-two million, one hundred ten thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 8263 16526 24789 49578 57841 74367 115682 148734 173523 347046 404887 520569 809774 1041138 1214661 1417699 2429322 2835398 3643983 4253097 7287966 8506194 9923893 12759291 19847786 25518582 29771679 59543358 69467251 89315037 138934502 178630074 208401753 416803506 625205259 1250410518 11714446837 23428893674 35143340511 70286681022 82001127859 105430021533 164002255718 210860043066 246003383577 492006767154 574007895013 738010150731 1148015790026 1476020301462 1722023685039 3444047370078 5166071055117 10332142110234