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1102110001300 = 22527111031389623
BaseRepresentation
bin10000000010011010111…
…000000000100010010100
310220100201221101221101001
4100002122320000202110
5121024110130020200
62202145150113044
7142424212304560
oct20023270004224
93810657357331
101102110001300
11395447400220
1215971a4ab784
137cc0bc88459
143b4b17d86a0
151da05d4176a
hex1009ae00894

1102110001300 has 144 divisors (see below), whose sum is σ = 3010659305472. Its totient is φ = 340179465600.

The previous prime is 1102110001277. The next prime is 1102110001357. The reversal of 1102110001300 is 31000112011.

It is a super-3 number, since 3×11021100013003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 98289 + ... + 1487911.

It is an arithmetic number, because the mean of its divisors is an integer number (20907356288).

Almost surely, 21102110001300 is an apocalyptic number.

1102110001300 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 1102110001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505329652736).

1102110001300 is an abundant number, since it is smaller than the sum of its proper divisors (1908549304172).

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

1102110001300 is a wasteful number, since it uses less digits than its factorization.

1102110001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389758 (or 1389751 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1102110001300 its reverse (31000112011), we get a palindrome (1133110113311).

The spelling of 1102110001300 in words is "one trillion, one hundred two billion, one hundred ten million, one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 103 110 140 154 175 206 220 275 308 350 385 412 515 550 700 721 770 1030 1100 1133 1442 1540 1925 2060 2266 2575 2884 3605 3850 4532 5150 5665 7210 7700 7931 10300 11330 14420 15862 18025 22660 28325 31724 36050 39655 56650 72100 79310 113300 158620 198275 396550 793100 1389623 2779246 5558492 6948115 9727361 13896230 15285853 19454722 27792460 30571706 34740575 38909444 48636805 61143412 69481150 76429265 97273610 107000971 138962300 143131169 152858530 194547220 214001942 243184025 286262338 305717060 382146325 428003884 486368050 535004855 572524676 715655845 764292650 972736100 1001918183 1070009710 1431311690 1528585300 1574442859 2003836366 2140019420 2675024275 2862623380 3148885718 3578279225 4007672732 5009590915 5350048550 6297771436 7156558450 7872214295 10019181830 10700097100 11021100013 14313116900 15744428590 20038363660 22042200026 25047954575 31488857180 39361071475 44084400052 50095909150 55105500065 78722142950 100191818300 110211000130 157444285900 220422000260 275527500325 551055000650 1102110001300