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12310012100300 = 22521989373319501
BaseRepresentation
bin1011001100100010010111…
…1001011111111011001100
31121120211021220112112011012
42303020211321133323030
53103141401044202200
642103050321144352
72410240401254555
oct263104571377314
947524256475135
1012310012100300
113a16712a00262
12146991a18b0b8
136b3aa18844a5
14307b4471332c
1516532957ca35
hexb3225e5fecc

12310012100300 has 144 divisors (see below), whose sum is σ = 28443674800800. Its totient is φ = 4610960640000.

The previous prime is 12310012100261. The next prime is 12310012100339. The reversal of 12310012100300 is 300121001321.

It is an interprime number because it is at equal distance from previous prime (12310012100261) and next prime (12310012100339).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631240550 + ... + 631260050.

It is an arithmetic number, because the mean of its divisors is an integer number (197525519450).

Almost surely, 212310012100300 is an apocalyptic number.

12310012100300 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 12310012100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221837400400).

12310012100300 is an abundant number, since it is smaller than the sum of its proper divisors (16133662700500).

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

12310012100300 is a wasteful number, since it uses less digits than its factorization.

12310012100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23356 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12310012100300 its reverse (300121001321), we get a palindrome (12610133101621).

The spelling of 12310012100300 in words is "twelve trillion, three hundred ten billion, twelve million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 178 190 356 380 445 475 890 950 1691 1780 1900 2225 3382 3733 4450 6764 7466 8455 8900 14932 16910 18665 19501 33820 37330 39002 42275 70927 74660 78004 84550 93325 97505 141854 169100 186650 195010 283708 332237 354635 370519 373300 390020 487525 664474 709270 741038 975050 1328948 1418540 1482076 1661185 1735589 1773175 1852595 1950100 3322370 3471178 3546350 3705190 6312503 6644740 6942356 7092700 7410380 8305925 8677945 9262975 12625006 16611850 17355890 18525950 25250012 31562515 32976191 33223700 34711780 37051900 43389725 63125030 65952382 72797233 86779450 126250060 131904764 145594466 157812575 164880955 173558900 291188932 315625150 329761910 363986165 631250300 659523820 727972330 824404775 1383147427 1455944660 1648809550 1819930825 2766294854 3297619100 3639861650 5532589708 6478953737 6915737135 7279723300 12957907474 13831474270 25915814948 27662948540 32394768685 34578685675 64789537370 69157371350 123100121003 129579074740 138314742700 161973843425 246200242006 323947686850 492400484012 615500605015 647895373700 1231001210030 2462002420060 3077503025075 6155006050150 12310012100300