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2120062141136 = 242345718796709
BaseRepresentation
bin11110110110011101100…
…011010000001011010000
321111200020202221120002002
4132312131203100023100
5234213341402004021
64301535413213132
7306112054602662
oct36663543201320
97450222846062
102120062141136
11748127899515
122a2a706311a8
13124bc8598134
147487c170532
153a23365a50b
hex1ed9d8d02d0

2120062141136 has 80 divisors (see below), whose sum is σ = 4298518329600. Its totient is φ = 1011034911744.

The previous prime is 2120062141123. The next prime is 2120062141217. The reversal of 2120062141136 is 6311412600212.

It is a junction number, because it is equal to n+sod(n) for n = 2120062141099 and 2120062141108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315999350 + ... + 316006058.

It is an arithmetic number, because the mean of its divisors is an integer number (53731479120).

Almost surely, 22120062141136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120062141136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149259164800).

2120062141136 is an abundant number, since it is smaller than the sum of its proper divisors (2178456188464).

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

2120062141136 is a wasteful number, since it uses less digits than its factorization.

2120062141136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 2120062141136 its reverse (6311412600212), we get a palindrome (8431474741348).

The spelling of 2120062141136 in words is "two trillion, one hundred twenty billion, sixty-two million, one hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 457 914 1828 1879 3656 3758 6709 7312 7516 10511 13418 15032 21022 26836 30064 42044 43217 53672 84088 86434 107344 154307 168176 172868 308614 345736 617228 691472 858703 1234456 1717406 2468912 3066013 3434812 6132026 6869624 12264052 12606211 13739248 19750169 24528104 25212422 39500338 49056208 50424844 70518299 79000676 100849688 141036598 158001352 201699376 282073196 289942853 316002704 564146392 579885706 1128292784 1159771412 2319542824 4639085648 5761038427 11522076854 23044153708 46088307416 92176614832 132503883821 265007767642 530015535284 1060031070568 2120062141136