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100010111111000 = 2353597589223361
BaseRepresentation
bin10110101111010101101011…
…001001011000111101011000
3111010002212120121011012001022
4112233111223021120331120
5101102031201421023000
6552412002154542012
730031330533154046
oct2657255311307530
9433085517135038
10100010111111000
1129959060511562
12b272767a37908
1343a5bb3b6736c
141a9a72da19396
15b8675c2c9585
hex5af56b258f58

100010111111000 has 128 divisors (see below), whose sum is σ = 238022588232000. Its totient is φ = 39320651776000.

The previous prime is 100010111110937. The next prime is 100010111111051. The reversal of 100010111111000 is 111111010001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 447639320 + ... + 447862680.

Almost surely, 2100010111111000 is an apocalyptic number.

100010111111000 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 100010111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119011294116000).

100010111111000 is an abundant number, since it is smaller than the sum of its proper divisors (138012477121000).

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

100010111111000 is a wasteful number, since it uses less digits than its factorization.

100010111111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231030 (or 231016 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100010111111000 its reverse (111111010001), we get a palindrome (100121222121001).

The spelling of 100010111111000 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 7589 11800 14750 15178 29500 30356 37945 59000 60712 75890 151780 189725 223361 303560 379450 446722 447751 758900 893444 895502 948625 1116805 1517800 1786888 1791004 1897250 2233610 2238755 3582008 3794500 4467220 4477510 5584025 7589000 8934440 8955020 11168050 11193775 13178299 17910040 22336100 22387550 26356598 27920125 44672200 44775100 52713196 55840250 55968875 65891495 89550200 105426392 111680500 111937750 131782990 223361000 223875500 263565980 329457475 447751000 527131960 658914950 1317829900 1647287375 1695086629 2635659800 3294574750 3390173258 6589149500 6780346516 8475433145 13178299000 13560693032 16950866290 33901732580 42377165725 67803465160 84754331450 100010111111 169508662900 200020222222 211885828625 339017325800 400040444444 423771657250 500050555555 800080888888 847543314500 1000101111110 1695086629000 2000202222220 2500252777775 4000404444440 5000505555550 10001011111100 12501263888875 20002022222200 25002527777750 50005055555500 100010111111000