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101322132222330 = 23352697229192979
BaseRepresentation
bin10111000010011011100101…
…101100101111000101111010
3111021202022010121100100221000
4113002123211230233011322
5101240030211322103310
6555254424524425430
730225165614460315
oct2702334554570572
9437668117310830
10101322132222330
112a3145251a45a8
12b444aa90a8276
13446c8365a8516
141b0403591997c
15baa94b7404c0
hex5c26e5b2f17a

101322132222330 has 128 divisors (see below), whose sum is σ = 271235705760000. Its totient is φ = 26914928811264.

The previous prime is 101322132222317. The next prime is 101322132222347. The reversal of 101322132222330 is 33222231223101.

101322132222330 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 2 + 1 + 322 + 2 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101322132222294 and 101322132222303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 524945781 + ... + 525138759.

It is an arithmetic number, because the mean of its divisors is an integer number (2119028951250).

Almost surely, 2101322132222330 is an apocalyptic number.

101322132222330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101322132222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135617852880000).

101322132222330 is an abundant number, since it is smaller than the sum of its proper divisors (169913573537670).

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

101322132222330 is a wasteful number, since it uses less digits than its factorization.

101322132222330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200493 (or 200487 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 101322132222330 its reverse (33222231223101), we get a palindrome (134544363445431).

The spelling of 101322132222330 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirty-two million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 269 270 538 807 1345 1614 2421 2690 4035 4842 7229 7263 8070 12105 14458 14526 21687 24210 36145 36315 43374 65061 72290 72630 108435 130122 192979 195183 216870 325305 385958 390366 578937 650610 964895 975915 1157874 1736811 1929790 1944601 1951830 2894685 3473622 3889202 5210433 5789370 5833803 8684055 9723005 10420866 11667606 17368110 17501409 19446010 26052165 29169015 35002818 51911351 52104330 52504227 58338030 87507045 103822702 105008454 155734053 175014090 259556755 262521135 311468106 467202159 519113510 525042270 778670265 934404318 1395045191 1401606477 1557340530 2336010795 2790090382 2803212954 4185135573 4672021590 6975225955 7008032385 8370271146 12555406719 13950451910 14016064770 20925677865 25110813438 37666220157 41851355730 62777033595 75332440314 125554067190 188331100785 375267156379 376662201570 750534312758 1125801469137 1876335781895 2251602938274 3377404407411 3752671563790 5629007345685 6754808814822 10132213222233 11258014691370 16887022037055 20264426444466 33774044074110 50661066111165 101322132222330