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311430241041020 = 22543974957753133
BaseRepresentation
bin100011011001111101000000…
…0111000111011101001111100
31111211200102212222000200122122
41012303322000320323221330
5311304433113201303040
63022205024434302112
7122412043460322653
oct10663720070735174
91454612788020578
10311430241041020
119025a907109512
122ab19325727938
13104a0990455bca
1456c943860219a
1526010367a01b5
hex11b3e80e3ba7c

311430241041020 has 96 divisors (see below), whose sum is σ = 676249285322688. Its totient is φ = 120396235825152.

The previous prime is 311430241040999. The next prime is 311430241041041. The reversal of 311430241041020 is 20140142034113.

It is an interprime number because it is at equal distance from previous prime (311430241040999) and next prime (311430241041041).

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, 413136374 + ... + 413889506.

It is an arithmetic number, because the mean of its divisors is an integer number (7044263388778).

Almost surely, 2311430241041020 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 311430241041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338124642661344).

311430241041020 is an abundant number, since it is smaller than the sum of its proper divisors (364819044281668).

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

311430241041020 is a wasteful number, since it uses less digits than its factorization.

311430241041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758239 (or 758237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 311430241041020 its reverse (20140142034113), we get a palindrome (331570383075133).

The spelling of 311430241041020 in words is "three hundred eleven trillion, four hundred thirty billion, two hundred forty-one million, forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 97 172 194 215 388 430 485 860 970 1940 4171 4957 8342 9914 16684 19828 20855 24785 41710 49570 83420 99140 213151 426302 480829 753133 852604 961658 1065755 1506266 1923316 2131510 2404145 3012532 3765665 4263020 4808290 7531330 9616580 15062660 20675647 32384719 41351294 64769438 73053901 82702588 103378235 129538876 146107802 161923595 206756470 292215604 323847190 365269505 413512940 647694380 730539010 1461078020 3141317743 3733280281 6282635486 7466560562 12565270972 14933121124 15706588715 18666401405 31413177430 37332802810 62826354860 74665605620 160531052083 321062104166 362128187257 642124208332 724256374514 802655260415 1448512749028 1605310520830 1810640936285 3210621041660 3621281872570 7242563745140 15571512052051 31143024104102 62286048208204 77857560260255 155715120520510 311430241041020