Search a number
-
+
101321120244102 = 231137415591181001
BaseRepresentation
bin10111000010011010101001…
…011000010110000110000110
3111021202012112002010112202220
4113002122221120112012012
5101240021123240302402
6555254140254313210
730225131546010423
oct2702325130260606
9437665462115686
10101321120244102
112a314055a3a360
12b4448661b8806
13446c704a36235
141b03d7b370d4a
15baa8dc994dbc
hex5c26a9616186

101321120244102 has 128 divisors (see below), whose sum is σ = 232619391599616. Its totient is φ = 29139552000000.

The previous prime is 101321120244017. The next prime is 101321120244119. The reversal of 101321120244102 is 201442021123101.

It is a super-2 number, since 2×1013211202441022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 559691602 + ... + 559872602.

It is an arithmetic number, because the mean of its divisors is an integer number (1817338996872).

Almost surely, 2101321120244102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101321120244102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116309695799808).

101321120244102 is an abundant number, since it is smaller than the sum of its proper divisors (131298271355514).

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

101321120244102 is a wasteful number, since it uses less digits than its factorization.

101321120244102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186686.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101321120244102 its reverse (201442021123101), we get a palindrome (302763141367203).

The spelling of 101321120244102 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred twenty million, two hundred forty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 41 66 74 82 111 123 222 246 407 451 814 902 1221 1353 1517 2442 2706 3034 4551 5591 9102 11182 16687 16773 33374 33546 50061 61501 100122 123002 181001 184503 206867 229231 362002 369006 413734 458462 543003 620601 687693 1086006 1241202 1375386 1991011 2275537 2521541 3982022 4551074 5043082 5973033 6697037 6826611 7421041 7564623 8481547 11946066 13394074 13653222 14842082 15129246 16963094 20091111 22263123 25444641 40182222 44526246 50889282 73667407 81631451 93297017 147334814 163262902 186594034 221002221 244894353 274578517 279891051 442004442 489788706 549157034 559782102 823735551 1011976591 1647471102 2023953182 3020363687 3035929773 6040727374 6071859546 9061091061 11131742501 18122182122 22263485002 33395227503 37443133867 41491040231 66790455006 74886267734 82982080462 112329401601 124473120693 224658803202 248946241386 411874472537 456401442541 823748945074 912802885082 1235623417611 1369204327623 1535168488547 2471246835222 2738408655246 3070336977094 4605505465641 9211010931282 16886853374017 33773706748034 50660560122051 101321120244102