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101330122202322 = 2313171914717273289
BaseRepresentation
bin10111000010100011000001…
…111100000101110011010010
3111021210001202102220101221220
4113002203001330011303102
5101240143042240433242
6555302225425425510
730225600614255526
oct2702430174056322
9437701672811856
10101330122202322
112a317955348852
12b446558a9b296
13447050aa20930
141b04592b35d86
15baac67e0bbec
hex5c28c1f05cd2

101330122202322 has 128 divisors (see below), whose sum is σ = 243267628665600. Its totient is φ = 27798033309696.

The previous prime is 101330122202293. The next prime is 101330122202363. The reversal of 101330122202322 is 223202221033101.

It is a junction number, because it is equal to n+sod(n) for n = 101330122202292 and 101330122202301.

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, 370643454 + ... + 370916742.

It is an arithmetic number, because the mean of its divisors is an integer number (1900528348950).

Almost surely, 2101330122202322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101330122202322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121633814332800).

101330122202322 is an abundant number, since it is smaller than the sum of its proper divisors (141937506463278).

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

101330122202322 is a wasteful number, since it uses less digits than its factorization.

101330122202322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288060.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101330122202322 its reverse (223202221033101), we get a palindrome (324532343235423).

The spelling of 101330122202322 in words is "one hundred one trillion, three hundred thirty billion, one hundred twenty-two million, two hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 221 247 323 442 494 646 663 741 969 1326 1482 1938 4199 8398 12597 14717 25194 29434 44151 88302 191321 250189 273289 279623 382642 500378 546578 559246 573963 750567 819867 838869 1147926 1501134 1639734 1677738 3252457 3552757 3635099 4645913 4753591 5192491 6504914 7105514 7270198 9291826 9507182 9757371 10384982 10658271 10905297 13937739 14260773 15577473 19514742 21316542 21810594 27875478 28521546 31154946 60396869 61796683 67502383 88272347 120793738 123593366 135004766 176544694 181190607 185390049 202507149 264817041 362381214 370780098 405014298 529634082 1147540511 2295081022 3442621533 4021994213 6885243066 8043988426 12065982639 24131965278 52285924769 68373901621 76417890047 104571849538 136747803242 152835780094 156857774307 205121704863 229253670141 313715548614 410243409726 458507340282 888860721073 993432570611 1299104130799 1777721442146 1986865141222 2598208261598 2666582163219 2980297711833 3897312392397 5333164326438 5960595423666 7794624784794 16888353700387 33776707400774 50665061101161 101330122202322