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133110300110232 = 233317643220712329
BaseRepresentation
bin11110010001000000101000…
…001001110110110110011000
3122110022012221200101201102210
4132101000220021312312120
5114421334343312011412
61151034005551355120
740015621216345134
oct3621005011666630
9573265850351383
10133110300110232
113945a8412632a5
1212b19802222aa0
13593732a81acb3
1424c280407a3c4
15105c78741683c
hex791028276d98

133110300110232 has 128 divisors (see below), whose sum is σ = 334523308492800. Its totient is φ = 44137754170368.

The previous prime is 133110300110201. The next prime is 133110300110261. The reversal of 133110300110232 is 232011003011331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133110300110199 and 133110300110208.

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, 10796514244 + ... + 10796526572.

It is an arithmetic number, because the mean of its divisors is an integer number (2613463347600).

Almost surely, 2133110300110232 is an apocalyptic number.

133110300110232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133110300110232 is an abundant number, since it is smaller than the sum of its proper divisors (201413008382568).

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

133110300110232 is a wasteful number, since it uses less digits than its factorization.

133110300110232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15505 (or 15501 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133110300110232 its reverse (232011003011331), we get a palindrome (365121303121563).

The spelling of 133110300110232 in words is "one hundred thirty-three trillion, one hundred ten billion, three hundred million, one hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 317 634 643 951 1268 1286 1902 1929 2207 2536 2572 3804 3858 4414 5144 6621 7608 7716 8828 12329 13242 15432 17656 24658 26484 36987 49316 52968 73974 98632 147948 203831 295896 407662 611493 699619 815324 1222986 1399238 1419101 1630648 2098857 2445972 2798476 2838202 3908293 4197714 4257303 4891944 5596952 5676404 7816586 7927547 8395428 8514606 11352808 11724879 15633172 15855094 16790856 17029212 23449758 23782641 27210103 31266344 31710188 34058424 46899516 47565282 54420206 63420376 81630309 93799032 95130564 108840412 163260618 190261128 217680824 326521236 449855017 653042472 899710034 1349565051 1799420068 2513032399 2699130102 3598840136 5026064798 5398260204 7539097197 8625602651 10052129596 10796520408 15078194394 17251205302 17496096229 20104259192 25876807953 30156388788 34502410604 34992192458 51753615906 52488288687 60312777576 69004821208 69984384916 103507231812 104976577374 139968769832 207014463624 209953154748 419906309496 5546262504593 11092525009186 16638787513779 22185050018372 33277575027558 44370100036744 66555150055116 133110300110232