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2141212413 = 34122811511
BaseRepresentation
bin111111110100000…
…0100111011111101
312112020001212020110
41333220010323331
513341122244123
6552245340233
7104030001534
oct17750047375
95466055213
102141212413
119a972763a
124b9107679
132817ba4c2
1416453731b
15c7ea8493
hex7fa04efd

2141212413 has 24 divisors (see below), whose sum is σ = 2938638528. Its totient is φ = 1386784000.

The previous prime is 2141212399. The next prime is 2141212433. The reversal of 2141212413 is 3142121412.

It is not a de Polignac number, because 2141212413 - 29 = 2141211901 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2141212413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141212433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1416328 + ... + 1417838.

It is an arithmetic number, because the mean of its divisors is an integer number (122443272).

Almost surely, 22141212413 is an apocalyptic number.

It is an amenable number.

2141212413 is a deficient number, since it is larger than the sum of its proper divisors (797426115).

2141212413 is a wasteful number, since it uses less digits than its factorization.

2141212413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1836 counting only the distinct ones).

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

The square root of 2141212413 is about 46273.2364655856. The cubic root of 2141212413 is about 1288.9020589983.

Adding to 2141212413 its reverse (3142121412), we get a palindrome (5283333825).

It can be divided in two parts, 2 and 141212413, that added together give a triangular number (141212415 = T16805).

The spelling of 2141212413 in words is "two billion, one hundred forty-one million, two hundred twelve thousand, four hundred thirteen".

Divisors: 1 3 41 123 281 843 1511 1681 4533 5043 11521 34563 61951 185853 424591 472361 1273773 1417083 2539991 7619973 17408231 52224693 713737471 2141212413