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101100159232 = 2837103173599
BaseRepresentation
bin101111000101000001…
…0100000000100000000
3100122221211210012222221
41132022002200010000
53124023120043412
6114240023140424
710206233113552
oct1361202400400
9318854705887
10101100159232
113997044a006
12177162a4714
1396c2717a37
144c712014d2
15296ab02b07
hex178a0a0100

101100159232 has 144 divisors (see below), whose sum is σ = 210832876800. Its totient is φ = 48343965696.

The previous prime is 101100159203. The next prime is 101100159283. The reversal of 101100159232 is 232951001101.

It is a junction number, because it is equal to n+sod(n) for n = 101100159197 and 101100159206.

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, 168781269 + ... + 168781867.

It is an arithmetic number, because the mean of its divisors is an integer number (1464117200).

Almost surely, 2101100159232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100159232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105416438400).

101100159232 is an abundant number, since it is smaller than the sum of its proper divisors (109732717568).

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

101100159232 is a wasteful number, since it uses less digits than its factorization.

101100159232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 101100159232 in words is "one hundred one billion, one hundred million, one hundred fifty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 103 128 148 173 206 256 296 346 412 592 599 692 824 1184 1198 1384 1648 2368 2396 2768 3296 3811 4736 4792 5536 6401 6592 7622 9472 9584 11072 12802 13184 15244 17819 19168 22144 22163 25604 26368 30488 35638 38336 44288 44326 51208 60976 61697 71276 76672 88652 102416 103627 121952 123394 142552 153344 177304 204832 207254 243904 246788 285104 354608 409664 414508 487808 493576 570208 659303 709216 819328 829016 975616 987152 1140416 1318606 1418432 1638656 1658032 1974304 2280832 2282789 2637212 2836864 3316064 3834199 3948608 4561664 4565578 5274424 5673728 6632128 7668398 7897216 9131156 10548848 10673581 13264256 15336796 15794432 18262312 21097696 21347162 26528512 30673592 36524624 42195392 42694324 61347184 73049248 84390784 85388648 122694368 146098496 168781568 170777296 245388736 292196992 341554592 394922497 490777472 584393984 683109184 789844994 981554944 1366218368 1579689988 2732436736 3159379976 6318759952 12637519904 25275039808 50550079616 101100159232