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312310030101132 = 223725164633229181
BaseRepresentation
bin100011100000010110101100…
…0011001110110101010001100
31111221210112202222100122111210
41013000231120121312222030
5311413341420201214012
63024121125215214420
7122532440455046340
oct10700553031665214
91457715688318453
10312310030101132
1190569a380a4aa8
122b03b939217410
131053592b91c78b
145719c596b3620
152618d7979523c
hex11c0b58676a8c

312310030101132 has 96 divisors (see below), whose sum is σ = 836161367053824. Its totient is φ = 88874170560000.

The previous prime is 312310030101067. The next prime is 312310030101133. The reversal of 312310030101132 is 231101030013213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 312310030101099 and 312310030101108.

It is not an unprimeable number, because it can be changed into a prime (312310030101133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1362607582 + ... + 1362836762.

It is an arithmetic number, because the mean of its divisors is an integer number (8710014240144).

Almost surely, 2312310030101132 is an apocalyptic number.

It is an amenable number.

312310030101132 is an abundant number, since it is smaller than the sum of its proper divisors (523851336952692).

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

312310030101132 is a wasteful number, since it uses less digits than its factorization.

312310030101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294079 (or 294077 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 312310030101132 its reverse (231101030013213), we get a palindrome (543411060114345).

The spelling of 312310030101132 in words is "three hundred twelve trillion, three hundred ten billion, thirty million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 251 502 753 1004 1506 1757 3012 3514 5271 7028 10542 21084 64633 129266 193899 229181 258532 387798 452431 458362 687543 775596 904862 916724 1357293 1375086 1604267 1809724 2714586 2750172 3208534 4812801 5429172 6417068 9625602 16222883 19251204 32445766 48668649 57524431 64891532 97337298 113560181 115048862 172573293 194674596 227120362 230097724 340680543 345146586 402671017 454240724 681361086 690293172 805342034 1208013051 1362722172 1610684068 2416026102 4832052204 14812655573 29625311146 44437966719 59250622292 88875933438 103688589011 177751866876 207377178022 311065767033 414754356044 622131534066 1244263068132 3717976548823 7435953097646 11153929646469 14871906195292 22307859292938 26025835841761 44615718585876 52051671683522 78077507525283 104103343367044 156155015050566 312310030101132