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101143222040 = 23575310167481
BaseRepresentation
bin101111000110010011…
…0110001011100011000
3100200001211211001001202
41132030212301130120
53124120131101130
6114244202133332
710210265126240
oct1361446613430
9320054731052
10101143222040
1139992791803
12177287b1248
1396cb6146a3
144c76c10b20
15296e7ac145
hex178c9b1718

101143222040 has 128 divisors (see below), whose sum is σ = 267617416320. Its totient is φ = 33686016000.

The previous prime is 101143222031. The next prime is 101143222051. The reversal of 101143222040 is 40222341101.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1465100 + ... + 1532580.

It is an arithmetic number, because the mean of its divisors is an integer number (2090761065).

Almost surely, 2101143222040 is an apocalyptic number.

101143222040 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 101143222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133808708160).

101143222040 is an abundant number, since it is smaller than the sum of its proper divisors (166474194280).

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

101143222040 is a wasteful number, since it uses less digits than its factorization.

101143222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67653 (or 67649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101143222040 its reverse (40222341101), we get a palindrome (141365563141).

The spelling of 101143222040 in words is "one hundred one billion, one hundred forty-three million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 101 106 140 202 212 265 280 371 404 424 505 530 707 742 808 1010 1060 1414 1484 1855 2020 2120 2828 2968 3535 3710 4040 5353 5656 7070 7420 10706 14140 14840 21412 26765 28280 37471 42824 53530 67481 74942 107060 134962 149884 187355 214120 269924 299768 337405 374710 472367 539848 674810 749420 944734 1349620 1498840 1889468 2361835 2699240 3576493 3778936 4723670 6815581 7152986 9447340 13631162 14305972 17882465 18894680 25035451 27262324 28611944 34077905 35764930 47709067 50070902 54524648 68155810 71529860 95418134 100141804 125177255 136311620 143059720 190836268 200283608 238545335 250354510 272623240 361225793 381672536 477090670 500709020 722451586 954181340 1001418040 1444903172 1806128965 1908362680 2528580551 2889806344 3612257930 5057161102 7224515860 10114322204 12642902755 14449031720 20228644408 25285805510 50571611020 101143222040