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11013022310100 = 223521033171124317
BaseRepresentation
bin1010000001000010101101…
…0010000101111011010100
31102222211112110102120110220
42200100223102011323110
52420414132202410400
635231151304514340
72214443650041066
oct240205322057324
942884473376426
1011013022310100
113566661a92268
12129a492a7b9b0
1361b6a63077a5
142a1066c6b736
15141719a667a0
hexa042b485ed4

11013022310100 has 144 divisors (see below), whose sum is σ = 32275230169728. Its totient is φ = 2899116264960.

The previous prime is 11013022310099. The next prime is 11013022310111. The reversal of 11013022310100 is 101322031011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11013022310100.

It is a congruent number.

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, 9233142 + ... + 10357458.

Almost surely, 211013022310100 is an apocalyptic number.

11013022310100 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 11013022310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137615084864).

11013022310100 is an abundant number, since it is smaller than the sum of its proper divisors (21262207859628).

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

11013022310100 is a wasteful number, since it uses less digits than its factorization.

11013022310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124754 (or 1124747 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11013022310100 its reverse (101322031011), we get a palindrome (11114344341111).

The spelling of 11013022310100 in words is "eleven trillion, thirteen billion, twenty-two million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 317 412 515 618 634 951 1030 1236 1268 1545 1585 1902 2060 2575 3090 3170 3804 4755 5150 6180 6340 7725 7925 9510 10300 15450 15850 19020 23775 30900 31700 32651 47550 65302 95100 97953 130604 163255 195906 326510 391812 489765 653020 816275 979530 1124317 1632550 1959060 2248634 2448825 3265100 3372951 4497268 4897650 5621585 6745902 9795300 11243170 13491804 16864755 22486340 28107925 33729510 56215850 67459020 84323775 112431700 115804651 168647550 231609302 337295100 347413953 356408489 463218604 579023255 694827906 712816978 1069225467 1158046510 1389655812 1425633956 1737069765 1782042445 2138450934 2316093020 2895116275 3474139530 3564084890 4276901868 5346127335 5790232550 6948279060 7128169780 8685348825 8910212225 10692254670 11580465100 17370697650 17820424450 21384509340 26730636675 34741395300 35640848900 36710074367 53461273350 73420148734 106922546700 110130223101 146840297468 183550371835 220260446202 367100743670 440520892404 550651115505 734201487340 917751859175 1101302231010 1835503718350 2202604462020 2753255577525 3671007436700 5506511155050 11013022310100