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10042542101200 = 24527373196371
BaseRepresentation
bin1001001000100011011000…
…1001111001001011010000
31022120001120000200220121011
42102020312021321023100
52304014111234214300
633205251413540304
72054356361263000
oct222106611711320
938501500626534
1010042542101200
113222022231344
12116238b044694
1357b013a8b27b
1426a0c118a000
15126369bbeeba
hex922362792d0

10042542101200 has 120 divisors (see below), whose sum is σ = 28136685396800. Its totient is φ = 3443157244800.

The previous prime is 10042542101197. The next prime is 10042542101231. The reversal of 10042542101200 is 210124524001.

It is a super-2 number, since 2×100425421012002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36460986 + ... + 36735385.

Almost surely, 210042542101200 is an apocalyptic number.

10042542101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042542101200 is an abundant number, since it is smaller than the sum of its proper divisors (18094143295600).

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

10042542101200 is an equidigital number, since it uses as much as digits as its factorization.

10042542101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73196410 (or 73196385 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 10042542101200 its reverse (210124524001), we get a palindrome (10252666625201).

The spelling of 10042542101200 in words is "ten trillion, forty-two billion, five hundred forty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 343 350 392 400 490 560 686 700 784 980 1225 1372 1400 1715 1960 2450 2744 2800 3430 3920 4900 5488 6860 8575 9800 13720 17150 19600 27440 34300 68600 137200 73196371 146392742 292785484 365981855 512374597 585570968 731963710 1024749194 1171141936 1463927420 1829909275 2049498388 2561872985 2927854840 3586622179 3659818550 4098996776 5123745970 5855709680 7173244358 7319637100 8197993552 10247491940 12809364925 14346488716 14639274200 17933110895 20494983880 25106355253 25618729850 28692977432 29278548400 35866221790 40989967760 50212710506 51237459700 57385954864 71732443580 89665554475 100425421012 102474919400 125531776265 143464887160 179331108950 200850842024 204949838800 251063552530 286929774320 358662217900 401701684048 502127105060 627658881325 717324435800 1004254210120 1255317762650 1434648871600 2008508420240 2510635525300 5021271050600 10042542101200