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101580423140 = 225721916333469
BaseRepresentation
bin101111010011010101…
…0100011111111100100
3100201012022111011020002
41132212222203333210
53131014042020030
6114355421000432
710224154231100
oct1364652437744
9321168434202
10101580423140
113a097556429
121782b0b3118
13976b07c871
144cb8cda900
152997d6d245
hex17a6aa3fe4

101580423140 has 144 divisors (see below), whose sum is σ = 262817150400. Its totient is φ = 32791143168.

The previous prime is 101580423127. The next prime is 101580423157. The reversal of 101580423140 is 41324085101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3018326 + ... + 3051794.

It is an arithmetic number, because the mean of its divisors is an integer number (1825119100).

Almost surely, 2101580423140 is an apocalyptic number.

101580423140 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 101580423140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131408575200).

101580423140 is an abundant number, since it is smaller than the sum of its proper divisors (161236727260).

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

101580423140 is a wasteful number, since it uses less digits than its factorization.

101580423140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33674 (or 33665 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 101580423140 in words is "one hundred one billion, five hundred eighty million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 163 190 196 245 266 326 380 490 532 652 665 815 931 980 1141 1330 1630 1862 2282 2660 3097 3260 3724 4564 4655 5705 6194 7987 9310 11410 12388 15485 15974 18620 21679 22820 30970 31948 33469 39935 43358 61940 66938 79870 86716 108395 133876 151753 159740 167345 216790 234283 303506 334690 433580 468566 607012 635911 669380 758765 937132 1171415 1271822 1517530 1639981 2342830 2543644 3035060 3179555 3279962 4451377 4685660 5455447 6359110 6559924 8199905 8902754 10910894 12718220 16399810 17805508 21821788 22256885 27277235 31159639 32799620 38188129 44513770 54554470 62319278 76376258 89027540 103653493 109108940 124638556 152752516 155798195 190940645 207306986 267316903 311596390 381881290 414613972 518267465 534633806 623192780 725574451 763762580 1036534930 1069267612 1336584515 1451148902 2073069860 2673169030 2902297804 3627872255 5079021157 5346338060 7255744510 10158042314 14511489020 20316084628 25395105785 50790211570 101580423140