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1242541300 = 22527111312413
BaseRepresentation
bin100101000001111…
…1010110011110100
310012121001122020011
41022003322303310
510021042310200
6323143550004
742535266250
oct11203726364
93177048204
101242541300
11588422740
122a815b304
1316a56a950
14bb045260
15741405ba
hex4a0facf4

1242541300 has 144 divisors (see below), whose sum is σ = 3620518272. Its totient is φ = 357465600.

The previous prime is 1242541297. The next prime is 1242541327. The reversal of 1242541300 is 31452421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent 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, 93894 + ... + 106306.

It is an arithmetic number, because the mean of its divisors is an integer number (25142488).

Almost surely, 21242541300 is an apocalyptic number.

1242541300 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 1242541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810259136).

1242541300 is an abundant number, since it is smaller than the sum of its proper divisors (2377976972).

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

1242541300 is a wasteful number, since it uses less digits than its factorization.

1242541300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12458 (or 12451 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1242541300 is about 35249.6992894975. The cubic root of 1242541300 is about 1075.0704983512.

Adding to 1242541300 its reverse (31452421), we get a palindrome (1273993721).

The spelling of 1242541300 in words is "one billion, two hundred forty-two million, five hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 12413 14300 20020 24826 25025 49652 50050 62065 86891 100100 124130 136543 161369 173782 248260 273086 310325 322738 347564 434455 546172 620650 645476 682715 806845 868910 955801 1129583 1241300 1365430 1613690 1737820 1775059 1911602 2172275 2259166 2730860 3227380 3413575 3550118 3823204 4034225 4344550 4518332 4779005 5647915 6827150 7100236 8068450 8689100 8875295 9558010 11295830 12425413 13654300 16136900 17750590 19116020 22591660 23895025 24850826 28239575 35501180 44376475 47790050 49701652 56479150 62127065 88752950 95580100 112958300 124254130 177505900 248508260 310635325 621270650 1242541300