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253542210030 = 232567244717183
BaseRepresentation
bin1110110000100001001…
…0110001100111101110
3220020102210101202210100
43230020102301213232
513123223301210110
6312250425251530
724214004140464
oct3541022614756
9806383352710
10253542210030
1198587a7105a
124117a933ba6
131aba7bb6c65
14c3b303a834
1568ddcb2bc0
hex3b084b19ee

253542210030 has 96 divisors (see below), whose sum is σ = 669361065984. Its totient is φ = 66571040448.

The previous prime is 253542209993. The next prime is 253542210059. The reversal of 253542210030 is 30012245352.

It is a happy number.

253542210030 is a `hidden beast` number, since 2 + 535 + 4 + 22 + 100 + 3 + 0 = 666.

253542210030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253542209976 and 253542210003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14746819 + ... + 14764001.

It is an arithmetic number, because the mean of its divisors is an integer number (6972511104).

Almost surely, 2253542210030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253542210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334680532992).

253542210030 is an abundant number, since it is smaller than the sum of its proper divisors (415818855954).

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

253542210030 is a wasteful number, since it uses less digits than its factorization.

253542210030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19710 (or 19707 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 253542210030 its reverse (30012245352), we get a palindrome (283554455382).

It can be divided in two parts, 2535422 and 10030, that added together give a palindrome (2545452).

The spelling of 253542210030 in words is "two hundred fifty-three billion, five hundred forty-two million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 2447 3015 4894 6030 7341 12235 14682 17183 22023 24470 34366 36705 44046 51549 73410 85915 103098 110115 154647 163949 171830 220230 257745 309294 327898 491847 515490 773235 819745 983694 1151261 1475541 1546470 1639490 2302522 2459235 2951082 3453783 4918470 5756305 6907566 7377705 10361349 11512610 14755410 17268915 20722698 34537830 42046801 51806745 84093602 103613490 126140403 210234005 252280806 378421209 420468010 630702015 756842418 1261404030 1892106045 2817135667 3784212090 5634271334 8451407001 14085678335 16902814002 25354221003 28171356670 42257035005 50708442006 84514070010 126771105015 253542210030