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315315221130030 = 235112312802054751
BaseRepresentation
bin100011110110001110000101…
…1101111110110101100101110
31112100102211200220110111220110
41013230130023233312230232
5312312111033102130110
63034341451324400450
7123262526060242452
oct10754341357665456
91470384626414813
10315315221130030
1191518486093600
122b4462516a6126
13106c3136a440c4
1457c14a3b96662
15266c114ac6a20
hex11ec70bbf6b2e

315315221130030 has 96 divisors (see below), whose sum is σ = 858639241764864. Its totient is φ = 73974245400000.

The previous prime is 315315221130001. The next prime is 315315221130037. The reversal of 315315221130030 is 30031122513513.

It is a super-3 number, since 3×3153152211300303 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 315315221130030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315315221130037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400914846 + ... + 1401139905.

It is an arithmetic number, because the mean of its divisors is an integer number (8944158768384).

Almost surely, 2315315221130030 is an apocalyptic number.

315315221130030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

315315221130030 is an abundant number, since it is smaller than the sum of its proper divisors (543324020634834).

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

315315221130030 is a wasteful number, since it uses less digits than its factorization.

315315221130030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802054814 (or 2802054803 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 315315221130030 its reverse (30031122513513), we get a palindrome (345346343643543).

The spelling of 315315221130030 in words is "three hundred fifteen trillion, three hundred fifteen billion, two hundred twenty-one million, one hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 930 1023 1210 1705 1815 2046 3410 3630 3751 5115 7502 10230 11253 18755 22506 37510 56265 112530 2802054751 5604109502 8406164253 14010273755 16812328506 28020547510 30822602261 42030821265 61645204522 84061642530 86863697281 92467806783 154113011305 173727394562 184935613566 260591091843 308226022610 339048624871 434318486405 462339033915 521182183686 678097249742 868636972810 924678067830 955500670091 1017145874613 1302955459215 1695243124355 1911001340182 2034291749226 2605910918430 2866502010273 3390486248710 4777503350455 5085729373065 5733004020546 9555006700910 10171458746130 10510507371001 14332510051365 21021014742002 28665020102730 31531522113003 52552536855005 63063044226006 105105073710010 157657610565015 315315221130030