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141203092900 = 22525327092
BaseRepresentation
bin1000001110000001011…
…1000011010110100100
3111111110200112022221111
42003200113003112210
54303140442433100
6144511240154404
713126100325532
oct2034027032644
9444420468844
10141203092900
115497a5126a1
1223448768a04
1310413bca19c
146b97325152
153a1666d6ba
hex20e05c35a4

141203092900 has 81 divisors (see below), whose sum is σ = 312742229961. Its totient is φ = 55337393280.

The previous prime is 141203092841. The next prime is 141203092949. The reversal of 141203092900 is 9290302141.

The square root of 141203092900 is 375770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 113276672356 + 27926420544 = 336566^2 + 167112^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199157746 + ... + 199158454.

Almost surely, 2141203092900 is an apocalyptic number.

141203092900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141203092900 is the 375770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141203092900

141203092900 is an abundant number, since it is smaller than the sum of its proper divisors (171539137061).

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

141203092900 is an frugal number, since it uses more digits than its factorization.

141203092900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 141203092900 in words is "one hundred forty-one billion, two hundred three million, ninety-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 709 1060 1325 1418 2650 2809 2836 3545 5300 5618 7090 11236 14045 14180 17725 28090 35450 37577 56180 70225 70900 75154 140450 150308 187885 280900 375770 502681 751540 939425 1005362 1878850 1991581 2010724 2513405 3757700 3983162 5026810 7966324 9957905 10053620 12567025 19915810 25134050 26642093 39831620 49789525 50268100 53284186 99579050 106568372 133210465 199158100 266420930 532841860 666052325 1332104650 1412030929 2664209300 2824061858 5648123716 7060154645 14120309290 28240618580 35300773225 70601546450 141203092900