Search a number
-
+
141233111240100 = 223521175475670851
BaseRepresentation
bin100000000111001101100101…
…011011010000110110100100
3200112001202100100120221000120
4200013031211123100312210
5122002430402434140400
61220213332352241540
741514520104631605
oct4007154533206644
9615052310527016
10141233111240100
11410016983a0080
1213a0bb0b2402b0
1360a62c0b22669
1426c3a0d141dac
15114dbe6019ca0
hex8073656d0da4

141233111240100 has 144 divisors (see below), whose sum is σ = 445842202772736. Its totient is φ = 34233787280000.

The previous prime is 141233111240063. The next prime is 141233111240101. The reversal of 141233111240100 is 1042111332141.

It is not an unprimeable number, because it can be changed into a prime (141233111240101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22069675 + ... + 27740525.

It is an arithmetic number, because the mean of its divisors is an integer number (3096126408144).

Almost surely, 2141233111240100 is an apocalyptic number.

141233111240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141233111240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222921101386368).

141233111240100 is an abundant number, since it is smaller than the sum of its proper divisors (304609091532636).

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

141233111240100 is a wasteful number, since it uses less digits than its factorization.

141233111240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678426 (or 5678419 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 141233111240100 its reverse (1042111332141), we get a palindrome (142275222572241).

The spelling of 141233111240100 in words is "one hundred forty-one trillion, two hundred thirty-three billion, one hundred eleven million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 7547 15094 22641 30188 37735 45282 75470 83017 90564 113205 150940 166034 188675 226410 249051 332068 377350 415085 452820 498102 566025 754700 830170 996204 1132050 1245255 1660340 2075425 2264100 2490510 4150850 4981020 5670851 6226275 8301700 11341702 12452550 17012553 22683404 24905100 28354255 34025106 56708510 62379361 68050212 85062765 113417020 124758722 141771275 170125530 187138083 249517444 283542550 311896805 340251060 374276166 425313825 567085100 623793610 748552332 850627650 935690415 1247587220 1559484025 1701255300 1871380830 3118968050 3742761660 4678452075 6237936100 9356904150 18713808300 42797912497 85595824994 128393737491 171191649988 213989562485 256787474982 427979124970 470777037467 513574949964 641968687455 855958249940 941554074934 1069947812425 1283937374910 1412331112401 1883108149868 2139895624850 2353885187335 2567874749820 2824662224802 3209843437275 4279791249700 4707770374670 5649324449604 6419686874550 7061655562005 9415540749340 11769425936675 12839373749100 14123311124010 23538851873350 28246622248020 35308277810025 47077703746700 70616555620050 141233111240100