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10032203234040 = 23351349571297337
BaseRepresentation
bin1001000111111100110111…
…1010001111101011111000
31022112001212111022001010020
42101333031322033223320
52303331423011442130
633200421444050440
72053542230332101
oct221771572175370
938461774261106
1010032203234040
1132186a7206429
121160384693a20
1357a056b14cb0
142697c00173a8
15125e621c6e10
hex91fcde8faf8

10032203234040 has 128 divisors (see below), whose sum is σ = 32418297092160. Its totient is φ = 2468965330944.

The previous prime is 10032203233973. The next prime is 10032203234041. The reversal of 10032203234040 is 4043230223001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10032203234040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032203234041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7084252 + ... + 8381588.

Almost surely, 210032203234040 is an apocalyptic number.

10032203234040 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 10032203234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209148546080).

10032203234040 is an abundant number, since it is smaller than the sum of its proper divisors (22386093858120).

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

10032203234040 is a wasteful number, since it uses less digits than its factorization.

10032203234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302321 (or 1302317 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10032203234040 its reverse (4043230223001), we get a palindrome (14075433457041).

The spelling of 10032203234040 in words is "ten trillion, thirty-two billion, two hundred three million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 4957 9914 14871 19828 24785 29742 39656 49570 59484 64441 74355 99140 118968 128882 148710 193323 198280 257764 297420 322205 386646 515528 594840 644410 773292 966615 1288820 1297337 1546584 1933230 2577640 2594674 3866460 3892011 5189348 6486685 7732920 7784022 10378696 12973370 15568044 16865381 19460055 25946740 31136088 33730762 38920110 50596143 51893480 67461524 77840220 84326905 101192286 134923048 155680440 168653810 202384572 252980715 337307620 404769144 505961430 674615240 1011922860 2023845720 6430899509 12861799018 19292698527 25723598036 32154497545 38585397054 51447196072 64308995090 77170794108 83601693617 96463492635 128617990180 154341588216 167203387234 192926985270 250805080851 257235980360 334406774468 385853970540 418008468085 501610161702 668813548936 771707941080 836016936170 1003220323404 1254025404255 1672033872340 2006440646808 2508050808510 3344067744680 5016101617020 10032203234040