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20311322311302 = 2311210122779901
BaseRepresentation
bin1001001111001000110010…
…01001101011101010000110
32122220202001222022112121220
410213210121021223222012
510130240042002430202
6111110520451421210
74164305334013221
oct447443111535206
978822058275556
1020311322311302
116520a8aa25400
1223405788b4806
13b44470a4a219
14503104db05b8
1525352654dabc
hex12791926ba86

20311322311302 has 144 divisors (see below), whose sum is σ = 45265185528528. Its totient is φ = 6071392800000.

The previous prime is 20311322311271. The next prime is 20311322311309.

20311322311302 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311322311309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2051436552 + ... + 2051446452.

Almost surely, 220311322311302 is an apocalyptic number.

20311322311302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311322311302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632592764264).

20311322311302 is an abundant number, since it is smaller than the sum of its proper divisors (24953863217226).

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

20311322311302 is a wasteful number, since it uses less digits than its factorization.

20311322311302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2031132 and 2311302, that added together give a palindrome (4342434).

The spelling of 20311322311302 in words is "twenty trillion, three hundred eleven billion, three hundred twenty-two million, three hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 277 303 363 554 606 726 831 1111 1662 2222 3047 3333 6094 6666 9141 9901 10201 12221 18282 19802 20402 24442 27977 29703 30603 33517 36663 55954 59406 61206 67034 73326 83931 100551 108911 112211 167862 201102 217822 224422 307747 326733 336633 615494 653466 673266 923241 1000001 1198021 1234321 1846482 2000002 2396042 2468642 2742577 2825677 3000003 3385217 3594063 3702963 5485154 5651354 6000006 6770434 7188126 7405926 8227731 8477031 10155651 11000011 16455462 16954062 20311302 22000022 30168347 31082447 33000033 60336694 62164894 66000066 90505041 93247341 101000101 121000121 181010082 186494682 202000202 242000242 277000277 303000303 331851817 341906917 363000363 554000554 606000606 663703634 683813834 726000726 831000831 995555451 1025720751 1111001111 1662001662 1991110902 2051441502 2222002222 3047003047 3333003333 6094006094 6666006666 9141009141 12221012221 18282018282 24442024442 27977027977 33517033517 36663036663 55954055954 67034067034 73326073326 83931083931 100551100551 167862167862 201102201102 307747307747 615494615494 923241923241 1846483846482 3385220385217 6770440770434 10155661155651 20311322311302