Search a number
-
+
1221112040340 = 2235172687445541
BaseRepresentation
bin10001110001001111111…
…100110000101110010100
311022201220101201212210110
4101301033330300232110
5130001314140242330
62332545432523020
7154136203041033
oct21611774605624
94281811655713
101221112040340
11430963a04515
121787abb50470
138b1c549a77a
14431603a471a
1521b6d3b9db0
hex11c4ff30b94

1221112040340 has 96 divisors (see below), whose sum is σ = 3621593493504. Its totient is φ = 306360432640.

The previous prime is 1221112040339. The next prime is 1221112040353. The reversal of 1221112040340 is 430402111221.

It is a super-2 number, since 2×12211120403402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2517970 + ... + 2963510.

It is an arithmetic number, because the mean of its divisors is an integer number (37724932224).

Almost surely, 21221112040340 is an apocalyptic number.

1221112040340 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 1221112040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810796746752).

1221112040340 is an abundant number, since it is smaller than the sum of its proper divisors (2400481453164).

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

1221112040340 is a wasteful number, since it uses less digits than its factorization.

1221112040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448257 (or 448255 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1221112040340 its reverse (430402111221), we get a palindrome (1651514151561).

The spelling of 1221112040340 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2687 5374 8061 10748 13435 16122 26870 32244 40305 45679 53740 80610 91358 137037 161220 182716 228395 274074 445541 456790 548148 685185 891082 913580 1336623 1370370 1782164 2227705 2673246 2740740 4455410 5346492 6683115 7574197 8910820 13366230 15148394 22722591 26732460 30296788 37870985 45445182 75741970 90890364 113612955 151483940 227225910 454451820 1197168667 2394337334 3591506001 4788674668 5985843335 7183012002 11971686670 14366024004 17957530005 20351867339 23943373340 35915060010 40703734678 61055602017 71830120020 81407469356 101759336695 122111204034 203518673390 244222408068 305278010085 407037346780 610556020170 1221112040340