Search a number
-
+
2121444033400 = 235241511350599
BaseRepresentation
bin11110110111101111111…
…010110000001101111000
321111210211002012221220001
4132313233322300031320
5234224204133032100
64302324500042344
7306161234520256
oct36675772601570
97453732187801
102121444033400
1174877693a63a
122a31973933b4
13125088976873
147496d8cb5d6
153a2b4b24d6a
hex1edefeb0378

2121444033400 has 96 divisors (see below), whose sum is σ = 5053746852000. Its totient is φ = 827702323200.

The previous prime is 2121444033391. The next prime is 2121444033409. The reversal of 2121444033400 is 43304441212.

It is an interprime number because it is at equal distance from previous prime (2121444033391) and next prime (2121444033409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121444033409) 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, 41901301 + ... + 41951899.

It is an arithmetic number, because the mean of its divisors is an integer number (52643196375).

Almost surely, 22121444033400 is an apocalyptic number.

2121444033400 is a gapful number since it is divisible by the number (20) 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 2121444033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526873426000).

2121444033400 is an abundant number, since it is smaller than the sum of its proper divisors (2932302818600).

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

2121444033400 is a wasteful number, since it uses less digits than its factorization.

2121444033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55769 (or 55760 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2121444033400 its reverse (43304441212), we get a palindrome (2164748474612).

The spelling of 2121444033400 in words is "two trillion, one hundred twenty-one billion, four hundred forty-four million, thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 5113 8200 10226 20452 25565 40904 50599 51130 101198 102260 127825 202396 204520 209633 252995 255650 404792 419266 505990 511300 838532 1011980 1022600 1048165 1264975 1677064 2023960 2074559 2096330 2529950 4149118 4192660 5059900 5240825 8298236 8385320 10119800 10372795 10481650 16596472 20745590 20963300 41491180 41926600 51863975 82982360 103727950 207455900 258712687 414911800 517425374 1034850748 1293563435 2069701496 2587126870 5174253740 6467817175 10348507480 10607220167 12935634350 21214440334 25871268700 42428880668 51742537400 53036100835 84857761336 106072201670 212144403340 265180504175 424288806680 530361008350 1060722016700 2121444033400