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101242101040 = 24523101544781
BaseRepresentation
bin101111001001001111…
…1111101110100110000
3100200022201212121112221
41132102133331310300
53124320434213130
6114302053330424
710212605442223
oct1362237756460
9320281777487
10101242101040
1139a33587a93
1217755936a14
139715c54b82
144c85dcd5ba
1529782de87a
hex17927fdd30

101242101040 has 80 divisors (see below), whose sum is σ = 248054498496. Its totient is φ = 38352512000.

The previous prime is 101242101031. The next prime is 101242101043. The reversal of 101242101040 is 40101242101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101242101043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86551 + ... + 458230.

Almost surely, 2101242101040 is an apocalyptic number.

101242101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101242101040 is an abundant number, since it is smaller than the sum of its proper divisors (146812397456).

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

101242101040 is a wasteful number, since it uses less digits than its factorization.

101242101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544918 (or 544912 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101242101040 its reverse (40101242101), we get a palindrome (141343343141).

The spelling of 101242101040 in words is "one hundred one billion, two hundred forty-two million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 101 115 184 202 230 368 404 460 505 808 920 1010 1616 1840 2020 2323 4040 4646 8080 9292 11615 18584 23230 37168 46460 92920 185840 544781 1089562 2179124 2723905 4358248 5447810 8716496 10895620 12529963 21791240 25059926 43582480 50119852 55022881 62649815 100239704 110045762 125299630 200479408 220091524 250599260 275114405 440183048 501198520 550228810 880366096 1002397040 1100457620 1265526263 2200915240 2531052526 4401830480 5062105052 6327631315 10124210104 12655262630 20248420208 25310525260 50621050520 101242101040