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1411322410100 = 2252177372715643
BaseRepresentation
bin10100100010011001010…
…111101111010001110100
311222220212111002211020002
4110202121113233101310
5141110342014110400
63000204053130432
7203651612360021
oct24423127572164
94886774084202
101411322410100
114a45a1786609
121a9635029a18
13a3119577715
144c446244548
1526aa2187ed5
hex148995ef474

1411322410100 has 144 divisors (see below), whose sum is σ = 3291873556608. Its totient is φ = 523288719360.

The previous prime is 1411322410079. The next prime is 1411322410181. The reversal of 1411322410100 is 10142231141.

It is a super-3 number, since 3×14113224101003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 90212879 + ... + 90228521.

It is an arithmetic number, because the mean of its divisors is an integer number (22860233032).

Almost surely, 21411322410100 is an apocalyptic number.

1411322410100 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 1411322410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645936778304).

1411322410100 is an abundant number, since it is smaller than the sum of its proper divisors (1880551146508).

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

1411322410100 is a wasteful number, since it uses less digits than its factorization.

1411322410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16474 (or 16467 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1411322410100 its reverse (10142231141), we get a palindrome (1421464641241).

The spelling of 1411322410100 in words is "one trillion, four hundred eleven billion, three hundred twenty-two million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 146 170 292 340 365 425 727 730 850 1241 1454 1460 1700 1825 2482 2908 3635 3650 4964 6205 7270 7300 12359 12410 14540 15643 18175 24718 24820 31025 31286 36350 49436 53071 61795 62050 62572 72700 78215 106142 123590 124100 156430 212284 247180 265355 265931 308975 312860 391075 530710 531862 617950 782150 902207 1061420 1063724 1141939 1235900 1326775 1329655 1564300 1804414 2283878 2653550 2659310 3608828 4511035 4567756 5307100 5318620 5709695 6648275 9022070 11372461 11419390 13296550 18044140 19412963 22555175 22744922 22838780 26593100 28548475 38825926 45110350 45489844 56862305 57096950 77651852 90220700 97064815 113724610 114193900 193331837 194129630 227449220 284311525 386663674 388259260 485324075 568623050 773327348 830189653 966659185 970648150 1137246100 1660379306 1933318370 1941296300 3320758612 3866636740 4150948265 4833295925 8301896530 9666591850 14113224101 16603793060 19333183700 20754741325 28226448202 41509482650 56452896404 70566120505 83018965300 141132241010 282264482020 352830602525 705661205050 1411322410100