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10040104033220 = 2253765320777501
BaseRepresentation
bin1001001000011010010011…
…0101011001101111000100
31022112211021010001020002002
42102012210311121233010
52303444113113030340
633204205441404432
72054242065116042
oct222064465315704
938484233036062
1010040104033220
113220a90a88828
121161a0a639718
1357aa159342b1
14269d2d45b392
15126275b29715
hex921a4d59bc4

10040104033220 has 48 divisors (see below), whose sum is σ = 21687224147568. Its totient is φ = 3901515840000.

The previous prime is 10040104033123. The next prime is 10040104033229. The reversal of 10040104033220 is 2233040104001.

It can be written as a sum of positive squares in 8 ways, for example, as 1145978814016 + 8894125219204 = 1070504^2 + 2982302^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10040104033192 and 10040104033201.

It is not an unprimeable number, because it can be changed into a prime (10040104033229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9905531 + ... + 10871970.

It is an arithmetic number, because the mean of its divisors is an integer number (451817169741).

Almost surely, 210040104033220 is an apocalyptic number.

10040104033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040104033220 is an abundant number, since it is smaller than the sum of its proper divisors (11647120114348).

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

10040104033220 is a wasteful number, since it uses less digits than its factorization.

10040104033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20778200 (or 20778198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10040104033220 its reverse (2233040104001), we get a palindrome (12273144137221).

The spelling of 10040104033220 in words is "ten trillion, forty billion, one hundred four million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 653 740 1306 2612 3265 6530 13060 24161 48322 96644 120805 241610 483220 20777501 41555002 83110004 103887505 207775010 415550020 768767537 1537535074 3075070148 3843837685 7687675370 13567708153 15375350740 27135416306 54270832612 67838540765 135677081530 271354163060 502005201661 1004010403322 2008020806644 2510026008305 5020052016610 10040104033220