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1242550100 = 2252114127551
BaseRepresentation
bin100101000001111…
…1100111101010100
310012121002002022002
41022003330331110
510021043100400
6323144054432
742535334021
oct11203747524
93177062262
101242550100
11588429310
122a8164418
1316a57195c
14bb048548
1574142ed5
hex4a0fcf54

1242550100 has 72 divisors (see below), whose sum is σ = 3013307136. Its totient is φ = 440800000.

The previous prime is 1242550039. The next prime is 1242550109. The reversal of 1242550100 is 10552421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242550109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31325 + ... + 58875.

It is an arithmetic number, because the mean of its divisors is an integer number (41851488).

Almost surely, 21242550100 is an apocalyptic number.

1242550100 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 1242550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506653568).

1242550100 is an abundant number, since it is smaller than the sum of its proper divisors (1770757036).

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

1242550100 is a wasteful number, since it uses less digits than its factorization.

1242550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27617 (or 27610 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1242550100 is about 35249.8241130364. The cubic root of 1242550100 is about 1075.0730363213.

The spelling of 1242550100 in words is "one billion, two hundred forty-two million, five hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 27551 45100 55102 110204 137755 275510 303061 551020 606122 688775 1129591 1212244 1377550 1515305 2259182 2755100 3030610 4518364 5647955 6061220 7576525 11295910 12425501 15153050 22591820 24851002 28239775 30306100 49702004 56479550 62127505 112959100 124255010 248510020 310637525 621275050 1242550100