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421112213120 = 27510712834793
BaseRepresentation
bin1100010000011000011…
…11100110111010000000
31111020222000220220211002
412020030033212322000
523344414211304440
6521242320111132
742265360515524
oct6101417467200
91436860826732
10421112213120
11152657958615
12697457654a8
1330931581941
141654c085d84
15ae4a10e115
hex620c3e6e80

421112213120 has 128 divisors (see below), whose sum is σ = 1017134159040. Its totient is φ = 166705782784.

The previous prime is 421112213107. The next prime is 421112213143. The reversal of 421112213120 is 21312211124.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 421112213092 and 421112213101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87857444 + ... + 87862236.

Almost surely, 2421112213120 is an apocalyptic number.

421112213120 is a gapful number since it is divisible by the number (40) 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 421112213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508567079520).

421112213120 is an abundant number, since it is smaller than the sum of its proper divisors (596021945920).

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

421112213120 is a wasteful number, since it uses less digits than its factorization.

421112213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 6190 counting only the distinct ones).

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

Adding to 421112213120 its reverse (21312211124), we get a palindrome (442424424244).

The spelling of 421112213120 in words is "four hundred twenty-one billion, one hundred twelve million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 320 428 535 640 856 1070 1283 1712 2140 2566 3424 4280 4793 5132 6415 6848 8560 9586 10264 12830 13696 17120 19172 20528 23965 25660 34240 38344 41056 47930 51320 68480 76688 82112 95860 102640 137281 153376 164224 191720 205280 274562 306752 383440 410560 512851 549124 613504 686405 766880 821120 1025702 1098248 1372810 1533760 2051404 2196496 2564255 2745620 3067520 4102808 4392992 5128510 5491240 6149419 8205616 8785984 10257020 10982480 12298838 16411232 17571968 20514040 21964960 24597676 30747095 32822464 41028080 43929920 49195352 61494190 65644928 82056160 87859840 98390704 122988380 164112320 196781408 245976760 328224640 393562816 491953520 657987833 787125632 983907040 1315975666 1967814080 2631951332 3289939165 3935628160 5263902664 6579878330 10527805328 13159756660 21055610656 26319513320 42111221312 52639026640 84222442624 105278053280 210556106560 421112213120