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101113222040 = 235314312291543
BaseRepresentation
bin101111000101011010…
…0010101001110011000
3100122222202100212210122
41132022310111032120
53124034441101130
6114241211132412
710206452130545
oct1361264251630
9318882325718
10101113222040
1139977861316
121771a744108
1396c533c6cc
144c72c41bcc
15296bd332e5
hex178ad15398

101113222040 has 128 divisors (see below), whose sum is σ = 240656486400. Its totient is φ = 38174492160.

The previous prime is 101113222039. The next prime is 101113222057. The reversal of 101113222040 is 40222311101.

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, 65529509 + ... + 65531051.

It is an arithmetic number, because the mean of its divisors is an integer number (1880128800).

Almost surely, 2101113222040 is an apocalyptic number.

101113222040 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 101113222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120328243200).

101113222040 is an abundant number, since it is smaller than the sum of its proper divisors (139543264360).

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

101113222040 is a wasteful number, since it uses less digits than its factorization.

101113222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101113222040 its reverse (40222311101), we get a palindrome (141335533141).

The spelling of 101113222040 in words is "one hundred one billion, one hundred thirteen million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1229 1240 1333 1543 1720 2458 2666 3086 4916 5332 6145 6172 6665 7715 9832 10664 12290 12344 13330 15430 24580 26660 30860 38099 47833 49160 52847 53320 61720 66349 76198 95666 105694 132698 152396 190495 191332 211388 239165 264235 265396 304792 331745 380990 382664 422776 478330 528470 530792 663490 761980 956660 1056940 1326980 1523960 1638257 1896347 1913320 2056819 2113880 2653960 3276514 3792694 4113638 6553028 7585388 8191285 8227276 9481735 10284095 13106056 15170776 16382570 16454552 18963470 20568190 32765140 37926940 41136380 58786757 65530280 75853880 81542921 82272760 117573514 163085842 235147028 293933785 326171684 407714605 470294056 587867570 652343368 815429210 1175735140 1630858420 2351470280 2527830551 3261716840 5055661102 10111322204 12639152755 20222644408 25278305510 50556611020 101113222040