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1042212334200 = 2335216001108557
BaseRepresentation
bin11110010101010001011…
…00100010101001111000
310200122010120101011222020
433022220230202221320
5114033422324143300
62114441415154440
7135203664446532
oct17125054425170
93618116334866
101042212334200
11371aaa768404
12149ba2975a20
13773847aa89b
143862c782852
151c19c5a48a0
hexf2a8b22a78

1042212334200 has 96 divisors (see below), whose sum is σ = 3231089915760. Its totient is φ = 277903360000.

The previous prime is 1042212334199. The next prime is 1042212334217. The reversal of 1042212334200 is 24332122401.

It is a happy number.

It is a super-2 number, since 2×10422123342002 (a number of 25 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 9546322 + ... + 9654878.

Almost surely, 21042212334200 is an apocalyptic number.

1042212334200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042212334200 is an abundant number, since it is smaller than the sum of its proper divisors (2188877581560).

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

1042212334200 is a wasteful number, since it uses less digits than its factorization.

1042212334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124577 (or 124568 counting only the distinct ones).

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

Adding to 1042212334200 its reverse (24332122401), we get a palindrome (1066544456601).

The spelling of 1042212334200 in words is "one trillion, forty-two billion, two hundred twelve million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 16001 32002 48003 64004 80005 96006 108557 128008 160010 192012 217114 240015 320020 325671 384024 400025 434228 480030 542785 640040 651342 800050 868456 960060 1085570 1200075 1302684 1600100 1628355 1920120 2171140 2400150 2605368 2713925 3200200 3256710 4342280 4800300 5427850 6513420 8141775 9600600 10855700 13026840 16283550 21711400 32567100 65134200 1737020557 3474041114 5211061671 6948082228 8685102785 10422123342 13896164456 17370205570 20844246684 26055308355 34740411140 41688493368 43425513925 52110616710 69480822280 86851027850 104221233420 130276541775 173702055700 208442466840 260553083550 347404111400 521106167100 1042212334200