Search a number
-
+
412302431100 = 223527569334487
BaseRepresentation
bin1011111111111110010…
…00111101001101111100
31110102020001202121211010
411333333020331031330
523223343410243400
6513224211555220
741534144561040
oct5777710751574
91412201677733
10412302431100
11149946a78a2a
1267aa72bbb10
132cb59342381
1415d54028020
15aad19a8450
hex5fff23d37c

412302431100 has 144 divisors (see below), whose sum is σ = 1363625722368. Its totient is φ = 94221269760.

The previous prime is 412302431089. The next prime is 412302431161. The reversal of 412302431100 is 1134203214.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 11938057 + ... + 11972543.

It is an arithmetic number, because the mean of its divisors is an integer number (9469623072).

Almost surely, 2412302431100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412302431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681812861184).

412302431100 is an abundant number, since it is smaller than the sum of its proper divisors (951323291268).

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

412302431100 is a wasteful number, since it uses less digits than its factorization.

412302431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40204 (or 40197 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 412302431100 its reverse (1134203214), we get a palindrome (413436634314).

The spelling of 412302431100 in words is "four hundred twelve billion, three hundred two million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5693 11386 17079 22772 28465 34158 34487 39851 56930 68316 68974 79702 85395 103461 113860 119553 137948 142325 159404 170790 172435 199255 206922 239106 241409 284650 341580 344870 398510 413844 426975 478212 482818 517305 569300 597765 689740 724227 797020 853950 862175 965636 996275 1034610 1195530 1207045 1448454 1707900 1724350 1992550 2069220 2391060 2414090 2586525 2896908 2988825 3448700 3621135 3985100 4828180 5173050 5977650 6035225 7242270 10346100 11955300 12070450 14484540 18105675 24140900 36211350 72422700 196334491 392668982 589003473 785337964 981672455 1178006946 1374341437 1963344910 2356013892 2748682874 2945017365 3926689820 4123024311 4908362275 5497365748 5890034730 6871707185 8246048622 9816724550 11780069460 13743414370 14725086825 16492097244 19633449100 20615121555 27486828740 29450173650 34358535925 41230243110 58900347300 68717071850 82460486220 103075607775 137434143700 206151215550 412302431100