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101040221040 = 24351138272811
BaseRepresentation
bin101111000011001110…
…1110110101101110000
3100122210200000001020220
41132012131312231300
53123412244033130
6114230042333040
710204604464623
oct1360635665560
9318720001226
10101040221040
113993a630610
12176ba1ba180
1396b318cc55
144c6727bdba
152965713410
hex1786776b70

101040221040 has 80 divisors (see below), whose sum is σ = 341699665536. Its totient is φ = 24494598400.

The previous prime is 101040221033. The next prime is 101040221147. The reversal of 101040221040 is 40122040101.

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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19133766 + ... + 19139045.

Almost surely, 2101040221040 is an apocalyptic number.

101040221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101040221040 is an abundant number, since it is smaller than the sum of its proper divisors (240659444496).

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

101040221040 is a wasteful number, since it uses less digits than its factorization.

101040221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38272838 (or 38272832 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101040221040 its reverse (40122040101), we get a palindrome (141162261141).

The spelling of 101040221040 in words is "one hundred one billion, forty million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 38272811 76545622 114818433 153091244 191364055 229636866 306182488 382728110 421000921 459273732 574092165 612364976 765456220 842001842 918547464 1148184330 1263002763 1530912440 1684003684 1837094928 2105004605 2296368660 2526005526 3061824880 3368007368 4210009210 4592737320 5052011052 6315013815 6736014736 8420018420 9185474640 10104022104 12630027630 16840036840 20208044208 25260055260 33680073680 50520110520 101040221040