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1213231340300 = 225274172758147
BaseRepresentation
bin10001101001111010001…
…110010001101100001100
311021222120011210211200012
4101221322032101230030
5124334144210342200
62325203434052352
7153440001145130
oct21517216215414
94258504724605
101213231340300
1142858a50a981
1217717087a0b8
138a53a897a55
1442a138b33c0
152185b5d7a35
hex11a7a391b0c

1213231340300 has 144 divisors (see below), whose sum is σ = 3086492118528. Its totient is φ = 405254361600.

The previous prime is 1213231340297. The next prime is 1213231340303. The reversal of 1213231340300 is 30431323121.

It is an interprime number because it is at equal distance from previous prime (1213231340297) and next prime (1213231340303).

It is a super-2 number, since 2×12132313403002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1213231340303) 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, 20835827 + ... + 20893973.

Almost surely, 21213231340300 is an apocalyptic number.

1213231340300 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 1213231340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543246059264).

1213231340300 is an abundant number, since it is smaller than the sum of its proper divisors (1873260778228).

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

1213231340300 is a wasteful number, since it uses less digits than its factorization.

1213231340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58936 (or 58929 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1213231340300 its reverse (30431323121), we get a palindrome (1243662663421).

The spelling of 1213231340300 in words is "one trillion, two hundred thirteen billion, two hundred thirty-one million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 727 820 1025 1148 1435 1454 2050 2870 2908 3635 4100 5089 5740 7175 7270 10178 14350 14540 18175 20356 25445 28700 29807 36350 50890 58147 59614 72700 101780 116294 119228 127225 149035 208649 232588 254450 290735 298070 407029 417298 508900 581470 596140 745175 814058 834596 1043245 1162940 1453675 1490350 1628116 2035145 2086490 2384027 2907350 2980700 4070290 4172980 4768054 5216225 5814700 8140580 9536108 10175725 10432450 11920135 16688189 20351450 20864900 23840270 33376378 40702900 42272869 47680540 59600675 66752756 83440945 84545738 119201350 166881890 169091476 211364345 238402700 295910083 333763780 417204725 422728690 591820166 834409450 845457380 1056821725 1183640332 1479550415 1668818900 1733187629 2113643450 2959100830 3466375258 4227286900 5918201660 6932750516 7397752075 8665938145 12132313403 14795504150 17331876290 24264626806 29591008300 34663752580 43329690725 48529253612 60661567015 86659381450 121323134030 173318762900 242646268060 303307835075 606615670150 1213231340300