Search a number
-
+
1012102022100 = 22352131012569439
BaseRepresentation
bin11101011101001011111…
…10110100001111010100
310120202102010111211211210
432232211332310033110
5113040241104201400
62052541522501420
7133056555146211
oct16564576641724
93522363454753
101012102022100
1136025922a254
1214419ab04870
1374596601370
1436db3820b08
151b4d8e3a950
hexeba5fb43d4

1012102022100 has 144 divisors (see below), whose sum is σ = 3184831157760. Its totient is φ = 246666048000.

The previous prime is 1012102022081. The next prime is 1012102022117. The reversal of 1012102022100 is 12202012101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 890820 + ... + 1678619.

It is an arithmetic number, because the mean of its divisors is an integer number (22116883040).

Almost surely, 21012102022100 is an apocalyptic number.

1012102022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012102022100 is an abundant number, since it is smaller than the sum of its proper divisors (2172729135660).

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

1012102022100 is a wasteful number, since it uses less digits than its factorization.

1012102022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569570 (or 2569563 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012102022100 its reverse (12202012101), we get a palindrome (1024304034201).

Subtracting from 1012102022100 its reverse (12202012101), we obtain a palindrome (999900009999).

The spelling of 1012102022100 in words is "one trillion, twelve billion, one hundred two million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 101 130 150 156 195 202 260 300 303 325 390 404 505 606 650 780 975 1010 1212 1300 1313 1515 1950 2020 2525 2626 3030 3900 3939 5050 5252 6060 6565 7575 7878 10100 13130 15150 15756 19695 26260 30300 32825 39390 65650 78780 98475 131300 196950 393900 2569439 5138878 7708317 10277756 12847195 15416634 25694390 30833268 33402707 38541585 51388780 64235975 66805414 77083170 100208121 128471950 133610828 154166340 167013535 192707925 200416242 256943900 259513339 334027070 385415850 400832484 501040605 519026678 668054140 770831700 778540017 835067675 1002081210 1038053356 1297566695 1557080034 1670135350 2004162420 2505203025 2595133390 3114160068 3340270700 3373673407 3892700085 5010406050 5190266780 6487833475 6747346814 7785400170 10020812100 10121020221 12975666950 13494693628 15570800340 16868367035 19463500425 20242040442 25951333900 33736734070 38927000850 40484080884 50605101105 67473468140 77854001700 84341835175 101210202210 168683670350 202420404420 253025505525 337367340700 506051011050 1012102022100