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10202230412340 = 22354332291224637
BaseRepresentation
bin1001010001110110010001…
…0100011101010000110100
31100010022201222102121212020
42110131210110131100310
52314123131441143330
633410501232353140
72102041531444221
oct224354424352064
940108658377766
1010202230412340
113283818106aaa
1211893163a57b0
135900b25968c5
14273b0d526948
1512a5b40e0210
hex9476451d434

10202230412340 has 96 divisors (see below), whose sum is σ = 29239652830080. Its totient is φ = 2656500005376.

The previous prime is 10202230412333. The next prime is 10202230412357. The reversal of 10202230412340 is 4321403220201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202230412340.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7718502 + ... + 8943138.

It is an arithmetic number, because the mean of its divisors is an integer number (304579716980).

Almost surely, 210202230412340 is an apocalyptic number.

10202230412340 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 10202230412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619826415040).

10202230412340 is an abundant number, since it is smaller than the sum of its proper divisors (19037422417740).

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

10202230412340 is a wasteful number, since it uses less digits than its factorization.

10202230412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227921 (or 1227919 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10202230412340 its reverse (4321403220201), we get a palindrome (14523633632541).

The spelling of 10202230412340 in words is "ten trillion, two hundred two billion, two hundred thirty million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 3229 6458 9687 12916 16145 19374 32290 38748 48435 64580 96870 138847 193740 277694 416541 555388 694235 833082 1224637 1388470 1666164 2082705 2449274 2776940 3673911 4165410 4898548 6123185 7347822 8330820 12246370 14695644 18369555 24492740 36739110 52659391 73478220 105318782 157978173 210637564 263296955 315956346 526593910 631912692 789890865 1053187820 1579781730 3159563460 3954352873 7908705746 11863058619 15817411492 19771764365 23726117238 39543528730 47452234476 59315293095 79087057460 118630586190 170037173539 237261172380 340074347078 510111520617 680148694156 850185867695 1020223041234 1700371735390 2040446082468 2550557603085 3400743470780 5101115206170 10202230412340