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4042212332100 = 22352223577104717
BaseRepresentation
bin111010110100100110101…
…000010101001001000100
3112022102122201122100112120
4322310212220111021010
51012211422324111400
612332544450445540
7565016534624535
oct72644650251104
915272581570476
104042212332100
111319324532548
125534a88938b0
13234243309837
14dd90367868c
1570231ce7ca0
hex3ad26a15244

4042212332100 has 144 divisors (see below), whose sum is σ = 11768386441728. Its totient is φ = 1071219548160.

The previous prime is 4042212332033. The next prime is 4042212332149. The reversal of 4042212332100 is 12332122404.

It is a happy 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, 38548942 + ... + 38653658.

Almost surely, 24042212332100 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 4042212332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884193220864).

4042212332100 is an abundant number, since it is smaller than the sum of its proper divisors (7726174109628).

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

4042212332100 is a wasteful number, since it uses less digits than its factorization.

4042212332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105534 (or 105527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4042212332100 its reverse (12332122404), we get a palindrome (4054544454504).

The spelling of 4042212332100 in words is "four trillion, forty-two billion, two hundred twelve million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 577 669 892 1115 1154 1338 1731 2230 2308 2676 2885 3345 3462 4460 5575 5770 6690 6924 8655 11150 11540 13380 14425 16725 17310 22300 28850 33450 34620 43275 57700 66900 86550 104717 128671 173100 209434 257342 314151 386013 418868 514684 523585 628302 643355 772026 1047170 1256604 1286710 1544052 1570755 1930065 2094340 2573420 2617925 3141510 3216775 3860130 5235850 6283020 6433550 7720260 7853775 9650325 10471700 12867100 15707550 19300650 23351891 31415100 38601300 46703782 60421709 70055673 93407564 116759455 120843418 140111346 181265127 233518910 241686836 280222692 302108545 350278365 362530254 467037820 583797275 604217090 700556730 725060508 906325635 1167594550 1208434180 1401113460 1510542725 1751391825 1812651270 2335189100 3021085450 3502783650 3625302540 4531628175 6042170900 7005567300 9063256350 13474041107 18126512700 26948082214 40422123321 53896164428 67370205535 80844246642 134740411070 161688493284 202110616605 269480822140 336851027675 404221233210 673702055350 808442466420 1010553083025 1347404110700 2021106166050 4042212332100