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101741142020 = 225717197921601
BaseRepresentation
bin101111011000000111…
…1101010000000000100
3100201121111220112002012
41132300033222000010
53131331213021040
6114423401433352
710231145303210
oct1366017520004
9321544815065
10101741142020
113a16a249951
1217874a9b858
1397954625ab
144cd23b5940
1529a7018865
hex17b03ea004

101741142020 has 96 divisors (see below), whose sum is σ = 258684814080. Its totient is φ = 32812646400.

The previous prime is 101741141987. The next prime is 101741142023. The reversal of 101741142020 is 20241147101.

It is not an unprimeable number, because it can be changed into a prime (101741142023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699220 + ... + 4720820.

It is an arithmetic number, because the mean of its divisors is an integer number (2694633480).

Almost surely, 2101741142020 is an apocalyptic number.

101741142020 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 101741142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129342407040).

101741142020 is an abundant number, since it is smaller than the sum of its proper divisors (156943672060).

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

101741142020 is a wasteful number, since it uses less digits than its factorization.

101741142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23613 (or 23611 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 101741142020 its reverse (20241147101), we get a palindrome (121982289121).

The spelling of 101741142020 in words is "one hundred one billion, seven hundred forty-one million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1979 2380 3958 7916 9895 13853 19790 21601 27706 33643 39580 43202 55412 67286 69265 86404 108005 134572 138530 151207 168215 216010 235501 277060 302414 336430 367217 432020 471002 604828 672860 734434 756035 942004 1177505 1468868 1512070 1836085 2355010 2570519 3024140 3672170 4710020 5141038 7344340 10282076 12852595 25705190 42748379 51410380 85496758 170993516 213741895 299238653 427483790 598477306 726722443 854967580 1196954612 1453444886 1496193265 2906889772 2992386530 3633612215 5087057101 5984773060 7267224430 10174114202 14534448860 20348228404 25435285505 50870571010 101741142020