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1010413422420 = 2235443187920231
BaseRepresentation
bin11101011010000010101…
…01010100011101010100
310120121001110010002112220
432231001111110131110
5113023311314004140
62052102202142340
7132666662245113
oct16550125243524
93517043102486
101010413422420
1135a572043326
121439a94b19b0
1374387816b5c
1436c93465c7a
151b43aa89bd0
hexeb41554754

1010413422420 has 96 divisors (see below), whose sum is σ = 2837193246720. Its totient is φ = 268678999680.

The previous prime is 1010413422397. The next prime is 1010413422433. The reversal of 1010413422420 is 242243140101.

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, 49933705 + ... + 49953935.

It is an arithmetic number, because the mean of its divisors is an integer number (29554096320).

Almost surely, 21010413422420 is an apocalyptic number.

1010413422420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010413422420 is an abundant number, since it is smaller than the sum of its proper divisors (1826779824300).

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

1010413422420 is a wasteful number, since it uses less digits than its factorization.

1010413422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22565 (or 22563 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1010413422420 its reverse (242243140101), we get a palindrome (1252656562521).

The spelling of 1010413422420 in words is "one trillion, ten billion, four hundred thirteen million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 443 886 1329 1772 1879 2215 2658 3758 4430 5316 5637 6645 7516 8860 9395 11274 13290 18790 20231 22548 26580 28185 37580 40462 56370 60693 80924 101155 112740 121386 202310 242772 303465 404620 606930 832397 1213860 1664794 2497191 3329588 4161985 4994382 8323970 8962333 9988764 12485955 16647940 17924666 24971910 26886999 35849332 38014049 44811665 49943820 53773998 76028098 89623330 107547996 114042147 134434995 152056196 179246660 190070245 228084294 268869990 380140490 456168588 537739980 570210735 760280980 1140421470 2280842940 16840223707 33680447414 50520671121 67360894828 84201118535 101041342242 168402237070 202082684484 252603355605 336804474140 505206711210 1010413422420