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1311302423400 = 233525473995437
BaseRepresentation
bin10011000101001111101…
…101110001001101101000
311122100200220212001101020
4103011033231301031220
5132441021410022100
62442223133452440
7163511203456164
oct23051755611550
94570626761336
101311302423400
1146613603a182
12192180641120
139686988a938
144767869dca4
152419b3015a0
hex1314fb71368

1311302423400 has 96 divisors (see below), whose sum is σ = 4072470044640. Its totient is φ = 349041288960.

The previous prime is 1311302423357. The next prime is 1311302423401. The reversal of 1311302423400 is 43242031131.

It is a happy number.

It is a super-3 number, since 3×13113024234003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1311302423401) 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, 1669519 + ... + 2325918.

It is an arithmetic number, because the mean of its divisors is an integer number (42421562965).

Almost surely, 21311302423400 is an apocalyptic number.

1311302423400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311302423400 is an abundant number, since it is smaller than the sum of its proper divisors (2761167621240).

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

1311302423400 is a wasteful number, since it uses less digits than its factorization.

1311302423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996003 (or 3995994 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1311302423400 its reverse (43242031131), we get a palindrome (1354544454531).

The spelling of 1311302423400 in words is "one trillion, three hundred eleven billion, three hundred two million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 547 600 1094 1641 2188 2735 3282 4376 5470 6564 8205 10940 13128 13675 16410 21880 27350 32820 41025 54700 65640 82050 109400 164100 328200 3995437 7990874 11986311 15981748 19977185 23972622 31963496 39954370 47945244 59931555 79908740 95890488 99885925 119863110 159817480 199771850 239726220 299657775 399543700 479452440 599315550 799087400 1198631100 2185504039 2397262200 4371008078 6556512117 8742016156 10927520195 13113024234 17484032312 21855040390 26226048468 32782560585 43710080780 52452096936 54637600975 65565121170 87420161560 109275201950 131130242340 163912802925 218550403900 262260484680 327825605850 437100807800 655651211700 1311302423400