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1013012331100 = 2252711791665317
BaseRepresentation
bin11101011110111000011…
…11010111101001011100
310120211202120102100000221
432233130033113221130
5113044122124043400
62053212121531124
7133121250512260
oct16573417275134
93524676370027
101013012331100
11360686062940
121443b3943aa4
13746b0097143
143705c6a20a0
151b53dd01c1a
hexebdc3d7a5c

1013012331100 has 144 divisors (see below), whose sum is σ = 2775352366080. Its totient is φ = 311747155200.

The previous prime is 1013012331053. The next prime is 1013012331103. The reversal of 1013012331100 is 11332103101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013012331103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224359 + ... + 1440958.

It is an arithmetic number, because the mean of its divisors is an integer number (19273280320).

Almost surely, 21013012331100 is an apocalyptic number.

1013012331100 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 1013012331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387676183040).

1013012331100 is an abundant number, since it is smaller than the sum of its proper divisors (1762340034980).

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

1013012331100 is a wasteful number, since it uses less digits than its factorization.

1013012331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665428 (or 1665421 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1013012331100 its reverse (11332103101), we get a palindrome (1024344434201).

The spelling of 1013012331100 in words is "one trillion, thirteen billion, twelve million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 79 100 110 140 154 158 175 220 275 308 316 350 385 395 550 553 700 770 790 869 1100 1106 1540 1580 1738 1925 1975 2212 2765 3476 3850 3950 4345 5530 6083 7700 7900 8690 11060 12166 13825 17380 21725 24332 27650 30415 43450 55300 60830 86900 121660 152075 304150 608300 1665317 3330634 6661268 8326585 11657219 16653170 18318487 23314438 33306340 36636974 41632925 46628876 58286095 73273948 83265850 91592435 116572190 128229409 131560043 166531700 183184870 233144380 256458818 263120086 291430475 366369740 457962175 512917636 526240172 582860950 641147045 657800215 915924350 920920301 1165721900 1282294090 1315600430 1447160473 1831848700 1841840602 2564588180 2631200860 2894320946 3205735225 3289001075 3683681204 4604601505 5788641892 6411470450 6578002150 7235802365 9209203010 10130123311 12822940900 13156004300 14471604730 18418406020 20260246622 23023007525 28943209460 36179011825 40520493244 46046015050 50650616555 72358023650 92092030100 101301233110 144716047300 202602466220 253253082775 506506165550 1013012331100