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1110032002320 = 243573456713873
BaseRepresentation
bin10000001001110011000…
…100000010110100010000
310221010012001001021210020
4100021303010002310100
5121141321143033240
62205535222103440
7143124425224503
oct20116304026420
93833161037706
101110032002320
113988421438aa
1215b16b57ab80
13808a22bbc17
143ba2399b13a
151dd1b5810d0
hex10273102d10

1110032002320 has 160 divisors (see below), whose sum is σ = 3489252840192. Its totient is φ = 291868655616.

The previous prime is 1110032002301. The next prime is 1110032002349. The reversal of 1110032002320 is 232002300111.

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 1110032002320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80006904 + ... + 80020776.

Almost surely, 21110032002320 is an apocalyptic number.

1110032002320 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 1110032002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744626420096).

1110032002320 is an abundant number, since it is smaller than the sum of its proper divisors (2379220837872).

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

1110032002320 is a wasteful number, since it uses less digits than its factorization.

1110032002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18529 (or 18523 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1110032002320 its reverse (232002300111), we get a palindrome (1342034302431).

The spelling of 1110032002320 in words is "one trillion, one hundred ten billion, thirty-two million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 4567 5840 8760 9134 13701 13873 17520 18268 22835 27402 27746 36536 41619 45670 54804 55492 68505 69365 73072 83238 91340 109608 110984 137010 138730 166476 182680 208095 219216 221968 274020 277460 332952 333391 365360 416190 548040 554920 665904 666782 832380 1000173 1012729 1096080 1109840 1333564 1664760 1666955 2000346 2025458 2667128 3038187 3329520 3333910 4000692 4050916 5000865 5063645 5334256 6076374 6667820 8001384 8101832 10001730 10127290 12152748 13335640 15190935 16002768 16203664 20003460 20254580 24305496 26671280 30381870 40006920 40509160 48610992 60763740 63357991 80013840 81018320 121527480 126715982 190073973 243054960 253431964 316789955 380147946 506863928 633579910 760295892 950369865 1013727856 1267159820 1520591784 1900739730 2534319640 3041183568 3801479460 4625133343 5068639280 7602958920 9250266686 13875400029 15205917840 18500533372 23125666715 27750800058 37001066744 46251333430 55501600116 69377000145 74002133488 92502666860 111003200232 138754000290 185005333720 222006400464 277508000580 370010667440 555016001160 1110032002320