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12303302440 = 23511132717937
BaseRepresentation
bin10110111010101010…
…10111111100101000
31011202102211112002011
423131111113330220
5200144121134230
65352502245304
7613613226262
oct133525277450
934672745064
1012303302440
115243991250
122474426834
131210c4a820
1484a010b32
154c01d2e2a
hex2dd557f28

12303302440 has 128 divisors (see below), whose sum is σ = 32646136320. Its totient is φ = 4114022400.

The previous prime is 12303302437. The next prime is 12303302443. The reversal of 12303302440 is 4420330321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12303302437) and next prime (12303302443).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12303302443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546152 + ... + 1554088.

It is an arithmetic number, because the mean of its divisors is an integer number (255047940).

Almost surely, 212303302440 is an apocalyptic number.

12303302440 is a gapful number since it is divisible by the number (10) 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 12303302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16323068160).

12303302440 is an abundant number, since it is smaller than the sum of its proper divisors (20342833880).

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

12303302440 is a wasteful number, since it uses less digits than its factorization.

12303302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12303302440 its reverse (4420330321), we get a palindrome (16723632761).

The spelling of 12303302440 in words is "twelve billion, three hundred three million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 271 286 440 520 542 572 715 1084 1144 1355 1430 2168 2710 2860 2981 3523 5420 5720 5962 7046 7937 10840 11924 14092 14905 15874 17615 23848 28184 29810 31748 35230 38753 39685 59620 63496 70460 77506 79370 87307 103181 119240 140920 155012 158740 174614 193765 206362 310024 317480 349228 387530 412724 436535 515905 698456 775060 825448 873070 1031810 1134991 1550120 1746140 2063620 2150927 2269982 3492280 4127240 4301854 4539964 5674955 8603708 9079928 10754635 11349910 17207416 21509270 22699820 23660197 27962051 43018540 45399640 47320394 55924102 86037080 94640788 111848204 118300985 139810255 189281576 223696408 236601970 279620510 307582561 473203940 559241020 615165122 946407880 1118482040 1230330244 1537912805 2460660488 3075825610 6151651220 12303302440