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31012434300 = 223523724111593
BaseRepresentation
bin11100111000011111…
…000011000101111100
32222001022100220010210
4130320133003011330
51002003140344200
622125200032420
72145342225231
oct347037030574
988038326123
1031012434300
111217478a9a1
126016002710
132c03066b53
141702ab1788
15c17964650
hex7387c317c

31012434300 has 144 divisors (see below), whose sum is σ = 92544792032. Its totient is φ = 8012390400.

The previous prime is 31012434293. The next prime is 31012434301. The reversal of 31012434300 is 343421013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012434301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669304 + ... + 2680896.

Almost surely, 231012434300 is an apocalyptic number.

31012434300 is a gapful number since it is divisible by the number (30) 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 31012434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46272396016).

31012434300 is an abundant number, since it is smaller than the sum of its proper divisors (61532357732).

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

31012434300 is a wasteful number, since it uses less digits than its factorization.

31012434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11888 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31012434300 its reverse (343421013), we get a palindrome (31355855313).

The spelling of 31012434300 in words is "thirty-one billion, twelve million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 241 300 370 444 482 555 723 740 925 964 1110 1205 1446 1850 2220 2410 2775 2892 3615 3700 4820 5550 6025 7230 8917 11100 11593 12050 14460 17834 18075 23186 24100 26751 34779 35668 36150 44585 46372 53502 57965 69558 72300 89170 107004 115930 133755 139116 173895 178340 222925 231860 267510 289825 347790 428941 445850 535020 579650 668775 695580 857882 869475 891700 1159300 1286823 1337550 1715764 1738950 2144705 2573646 2675100 2793913 3477900 4289410 5147292 5587826 6434115 8381739 8578820 10723525 11175652 12868230 13969565 16763478 21447050 25736460 27939130 32170575 33526956 41908695 42894100 55878260 64341150 69847825 83817390 103374781 128682300 139695650 167634780 206749562 209543475 279391300 310124343 413499124 419086950 516873905 620248686 838173900 1033747810 1240497372 1550621715 2067495620 2584369525 3101243430 5168739050 6202486860 7753108575 10337478100 15506217150 31012434300