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1142157100 = 225272396827
BaseRepresentation
bin100010000010011…
…1110111100101100
32221121011120222211
41010010332330230
54314343011400
6305200220204
740206114040
oct10404767454
92847146884
101142157100
11536799597
1227a60a664
13152821306
14ab994020
156a411dba
hex4413ef2c

1142157100 has 72 divisors (see below), whose sum is σ = 2844817920. Its totient is φ = 389901120.

The previous prime is 1142157091. The next prime is 1142157143. The reversal of 1142157100 is 17512411.

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, 163887 + ... + 170713.

It is an arithmetic number, because the mean of its divisors is an integer number (39511360).

Almost surely, 21142157100 is an apocalyptic number.

1142157100 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 1142157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422408960).

1142157100 is an abundant number, since it is smaller than the sum of its proper divisors (1702660820).

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

1142157100 is a wasteful number, since it uses less digits than its factorization.

1142157100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 1142157100 is about 33795.8148296501. The cubic root of 1142157100 is about 1045.3024009792.

Adding to 1142157100 its reverse (17512411), we get a palindrome (1159669511).

The spelling of 1142157100 in words is "one billion, one hundred forty-two million, one hundred fifty-seven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 239 350 478 700 956 1195 1673 2390 3346 4780 5975 6692 6827 8365 11950 13654 16730 23900 27308 33460 34135 41825 47789 68270 83650 95578 136540 167300 170675 191156 238945 341350 477890 682700 955780 1194725 1631653 2389450 3263306 4778900 6526612 8158265 11421571 16316530 22843142 32633060 40791325 45686284 57107855 81582650 114215710 163165300 228431420 285539275 571078550 1142157100