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142214100 = 223527241281
BaseRepresentation
bin10000111101000…
…00001111010100
3100220121020001220
420132200033110
5242401322400
622040050340
73344541240
oct1036401724
9326536056
10142214100
1173304616
123b7639b0
1323604072
1414c5d420
15c7427a0
hex87a03d4

142214100 has 144 divisors (see below), whose sum is σ = 473886336. Its totient is φ = 32256000.

The previous prime is 142214099. The next prime is 142214101. The reversal of 142214100 is 1412241.

It is an interprime number because it is at equal distance from previous prime (142214099) and next prime (142214101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142214100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142214101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505960 + ... + 506240.

Almost surely, 2142214100 is an apocalyptic number.

142214100 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 142214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236943168).

142214100 is an abundant number, since it is smaller than the sum of its proper divisors (331672236).

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

142214100 is a wasteful number, since it uses less digits than its factorization.

142214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 142214100 is about 11925.3553406177. The cubic root of 142214100 is about 521.9724152714.

Adding to 142214100 its reverse (1412241), we get a palindrome (143626341).

The spelling of 142214100 in words is "one hundred forty-two million, two hundred fourteen 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 84 100 105 140 150 175 210 241 281 300 350 420 482 525 562 700 723 843 964 1050 1124 1205 1405 1446 1686 1687 1967 2100 2410 2810 2892 3372 3374 3615 3934 4215 4820 5061 5620 5901 6025 6748 7025 7230 7868 8430 8435 9835 10122 11802 12050 14050 14460 16860 16870 18075 19670 20244 21075 23604 24100 25305 28100 29505 33740 36150 39340 42150 42175 49175 50610 59010 67721 72300 84300 84350 98350 101220 118020 126525 135442 147525 168700 196700 203163 253050 270884 295050 338605 406326 474047 506100 590100 677210 812652 948094 1015815 1354420 1422141 1693025 1896188 2031630 2370235 2844282 3386050 4063260 4740470 5079075 5688564 6772100 7110705 9480940 10158150 11851175 14221410 20316300 23702350 28442820 35553525 47404700 71107050 142214100