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101700534740 = 22572350776221
BaseRepresentation
bin101111010110111010…
…0110000000111010100
3100201111200111110100212
41132231310300013110
53131240314102430
6114415351224552
710230143165510
oct1365564600724
9321450443325
10101700534740
113a149334012
1217863378158
139789c1550c
144ccac45140
1529a3696b95
hex17add301d4

101700534740 has 96 divisors (see below), whose sum is σ = 254784628224. Its totient is φ = 33340792320.

The previous prime is 101700534721. The next prime is 101700534751. The reversal of 101700534740 is 47435007101.

It is a junction number, because it is equal to n+sod(n) for n = 101700534697 and 101700534706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16344830 + ... + 16351050.

It is an arithmetic number, because the mean of its divisors is an integer number (2654006544).

Almost surely, 2101700534740 is an apocalyptic number.

101700534740 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 101700534740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127392314112).

101700534740 is an abundant number, since it is smaller than the sum of its proper divisors (153084093484).

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

101700534740 is a wasteful number, since it uses less digits than its factorization.

101700534740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11337 (or 11335 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 101700534740 in words is "one hundred one billion, seven hundred million, five hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 5077 6221 10154 12442 20308 24884 25385 31105 35539 43547 50770 62210 71078 87094 101540 116771 124420 142156 143083 174188 177695 217735 233542 286166 355390 435470 467084 572332 583855 710780 715415 817397 870940 1001581 1167710 1430830 1634794 2003162 2335420 2861660 3269588 4006324 4086985 5007905 8173970 10015810 16347940 20031620 31584017 63168034 126336068 157920085 221088119 315840170 442176238 631680340 726432391 884352476 1105440595 1452864782 2210881190 2905729564 3632161955 4421762380 5085026737 7264323910 10170053474 14528647820 20340106948 25425133685 50850267370 101700534740