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10202031123310 = 2513195386898969
BaseRepresentation
bin1001010001110101100001…
…1100001110101101101110
31100010022020002102200201001
42110131120130032231232
52314122224431421220
633410425353110514
72102033561510515
oct224353034165556
940108202380631
1010202031123310
11328372566a224
12118927b6b843a
135900801cb0c0
14273ad0c8b67c
1512a5a187680a
hex9475870eb6e

10202031123310 has 128 divisors (see below), whose sum is σ = 21214681488000. Its totient is φ = 3500519473152.

The previous prime is 10202031123307. The next prime is 10202031123377. The reversal of 10202031123310 is 1332113020201.

It is a super-2 number, since 2×102020311233102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1137472506 + ... + 1137481474.

It is an arithmetic number, because the mean of its divisors is an integer number (165739699125).

Almost surely, 210202031123310 is an apocalyptic number.

10202031123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202031123310 is an abundant number, since it is smaller than the sum of its proper divisors (11012650364690).

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

10202031123310 is a wasteful number, since it uses less digits than its factorization.

10202031123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17750.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10202031123310 its reverse (1332113020201), we get a palindrome (11534144143511).

The spelling of 10202031123310 in words is "ten trillion, two hundred two billion, thirty-one million, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 5 10 13 19 26 38 53 65 95 106 130 190 247 265 494 530 689 1007 1235 1378 2014 2470 3445 5035 6890 8689 8969 10070 13091 17378 17938 26182 43445 44845 65455 86890 89690 112957 116597 130910 165091 170411 225914 233194 330182 340822 460517 475357 564785 582985 825455 852055 921034 950714 1129570 1165970 1650910 1704110 2146183 2215343 2302585 2376785 4292366 4430686 4605170 4753570 5986721 6179641 8749823 9031783 10730915 11076715 11973442 12359282 17499646 18063566 21461830 22153430 29933605 30898205 43749115 45158915 59867210 61796410 77931641 87498230 90317830 113747699 117413179 155863282 227495398 234826358 389658205 568738495 587065895 779316410 1013111333 1137476990 1174131790 1480701179 2026222666 2961402358 4130376973 5065556665 7403505895 8260753946 10131113330 14807011790 19249115327 20651884865 38498230654 41303769730 53694900649 78477162487 96245576635 107389801298 156954324974 192491153270 268474503245 392385812435 536949006490 784771624870 1020203112331 2040406224662 5101015561655 10202031123310