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1010113331100 = 2235237432116307
BaseRepresentation
bin11101011001011110111…
…00100011111110011100
310120120021112102212122120
432230233130203332130
5113022203003043400
62052012322142540
7132656356435236
oct16545734437634
93516245385576
101010113331100
1135a428707275
12143924ab1a50
137433a5b6623
1436c6566b256
151b41e55dca0
hexeb2f723f9c

1010113331100 has 144 divisors (see below), whose sum is σ = 3071389335168. Its totient is φ = 255988373760.

The previous prime is 1010113331099. The next prime is 1010113331113. The reversal of 1010113331100 is 11333110101.

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 1010113331100.

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, 580854 + ... + 1535453.

Almost surely, 21010113331100 is an apocalyptic number.

1010113331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010113331100 is an abundant number, since it is smaller than the sum of its proper divisors (2061276004068).

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

1010113331100 is a wasteful number, since it uses less digits than its factorization.

1010113331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116404 (or 2116397 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1010113331100 its reverse (11333110101), we get a palindrome (1021446441201).

The spelling of 1010113331100 in words is "one trillion, ten billion, one hundred thirteen million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 43 50 60 74 75 86 100 111 129 148 150 172 185 215 222 258 300 370 430 444 516 555 645 740 860 925 1075 1110 1290 1591 1850 2150 2220 2580 2775 3182 3225 3700 4300 4773 5550 6364 6450 7955 9546 11100 12900 15910 19092 23865 31820 39775 47730 79550 95460 119325 159100 238650 477300 2116307 4232614 6348921 8465228 10581535 12697842 21163070 25395684 31744605 42326140 52907675 63489210 78303359 91001201 105815350 126978420 156606718 158723025 182002402 211630700 234910077 273003603 313213436 317446050 364004804 391516795 455006005 469820154 546007206 634892100 783033590 910012010 939640308 1092014412 1174550385 1365018015 1566067180 1820024020 1957583975 2275030025 2349100770 2730036030 3367044437 3915167950 4550060050 4698201540 5460072060 5872751925 6734088874 6825090075 7830335900 9100120100 10101133311 11745503850 13468177748 13650180150 16835222185 20202266622 23491007700 27300360300 33670444370 40404533244 50505666555 67340888740 84176110925 101011333110 168352221850 202022666220 252528332775 336704443700 505056665550 1010113331100