Search a number
-
+
312103003010022 = 232717357881247369
BaseRepresentation
bin100011011110110110010010…
…0101000001011001111100110
31111221001202101220100202012200
41012331230210220023033212
5311401443422232310042
63023442050142155330
7122511461235601260
oct10675544450131746
91457052356322180
10312103003010022
119049a15a766294
122b0077a0282b46
131051c257800733
14570dc1a222b30
1526137ae454c4c
hex11bdb24a0b3e6

312103003010022 has 96 divisors (see below), whose sum is σ = 777310260217920. Its totient is φ = 88654949729280.

The previous prime is 312103003010011. The next prime is 312103003010069. The reversal of 312103003010022 is 220010300301213.

312103003010022 is a `hidden beast` number, since 3 + 1 + 210 + 300 + 30 + 100 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312103003009977 and 312103003010004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261566354 + ... + 1261813722.

It is an arithmetic number, because the mean of its divisors is an integer number (8096981877270).

Almost surely, 2312103003010022 is an apocalyptic number.

312103003010022 is an abundant number, since it is smaller than the sum of its proper divisors (465207257207898).

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

312103003010022 is a wasteful number, since it uses less digits than its factorization.

312103003010022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305438 (or 305435 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312103003010022 its reverse (220010300301213), we get a palindrome (532113303311235).

The spelling of 312103003010022 in words is "three hundred twelve trillion, one hundred three billion, three million, ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 1038 1211 1557 2422 3114 3633 7266 10899 21798 57881 115762 173643 247369 347286 405167 494738 520929 742107 810334 1041858 1215501 1484214 1731583 2226321 2431002 3463166 3646503 4452642 5194749 7293006 10013413 10389498 15584247 20026826 30040239 31168494 42794837 60080478 70093891 85589674 90120717 128384511 140187782 180241434 210281673 256769022 299563859 385153533 420563346 599127718 630845019 770307066 898691577 1261690038 1797383154 2696074731 5392149462 14317965089 28635930178 42953895267 85907790534 100225755623 128861685801 200451511246 257723371602 300677266869 601354533738 902031800607 1804063601214 2477007960397 4954015920794 7431023881191 14862047762382 17339055722779 22293071643573 34678111445558 44586143287146 52017167168337 104034334336674 156051501505011 312103003010022