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1010240004300 = 2235237139654767
BaseRepresentation
bin11101011001101101111…
…11110010000011001100
310120120121100210112121120
432230312333302003030
5113022432420114200
62052033045200540
7132662455231662
oct16546677620314
93516540715546
101010240004300
1135a49316676a
1214395b400150
137435a908a97
1436c78402c32
151b42a7319a0
hexeb36ff20cc

1010240004300 has 144 divisors (see below), whose sum is σ = 3023561479680. Its totient is φ = 260230199040.

The previous prime is 1010240004289. The next prime is 1010240004331. The reversal of 1010240004300 is 34000420101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010240004300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1215517 + ... + 1870283.

It is an arithmetic number, because the mean of its divisors is an integer number (20996954720).

Almost surely, 21010240004300 is an apocalyptic number.

1010240004300 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 1010240004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511780739840).

1010240004300 is an abundant number, since it is smaller than the sum of its proper divisors (2013321475380).

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

1010240004300 is a wasteful number, since it uses less digits than its factorization.

1010240004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654960 (or 654953 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1010240004300 its reverse (34000420101), we get a palindrome (1044240424401).

The spelling of 1010240004300 in words is "one trillion, ten billion, two hundred forty million, four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 139 148 150 185 222 278 300 370 417 444 555 556 695 740 834 925 1110 1390 1668 1850 2085 2220 2775 2780 3475 3700 4170 5143 5550 6950 8340 10286 10425 11100 13900 15429 20572 20850 25715 30858 41700 51430 61716 77145 102860 128575 154290 257150 308580 385725 514300 654767 771450 1309534 1542900 1964301 2619068 3273835 3928602 6547670 7857204 9821505 13095340 16369175 19643010 24226379 32738350 39286020 48452758 49107525 65476700 72679137 91012613 96905516 98215050 121131895 145358274 182025226 196430100 242263790 273037839 290716548 363395685 364050452 455063065 484527580 546075678 605659475 726791370 910126130 1092151356 1211318950 1365189195 1453582740 1816978425 1820252260 2275315325 2422637900 2730378390 3367466681 3633956850 4550630650 5460756780 6734933362 6825945975 7267913700 9101261300 10102400043 13469866724 13651891950 16837333405 20204800086 27303783900 33674666810 40409600172 50512000215 67349333620 84186667025 101024000430 168373334050 202048000860 252560001075 336746668100 505120002150 1010240004300