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312213022000422 = 236117914431330233
BaseRepresentation
bin100011011111101001100001…
…0010001010100010100100110
31111221110021101022111112111220
41012333103002101110110212
5311410244232113003142
63024004403211041210
7122522434510564314
oct10677230221242446
91457407338445456
10312213022000422
11905318875a7144
122b024b85440206
131052973bc1935a
145715295b4b0b4
15261659d04e2ec
hex11bf4c2454526

312213022000422 has 64 divisors (see below), whose sum is σ = 638254294824960. Its totient is φ = 101785692153600.

The previous prime is 312213022000417. The next prime is 312213022000427. The reversal of 312213022000422 is 224000220312213.

It is an interprime number because it is at equal distance from previous prime (312213022000417) and next prime (312213022000427).

It is a super-2 number, since 2×3122130220004222 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312213022000392 and 312213022000401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312213022000427) 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, 945267418 + ... + 945597650.

It is an arithmetic number, because the mean of its divisors is an integer number (9972723356640).

Almost surely, 2312213022000422 is an apocalyptic number.

312213022000422 is an abundant number, since it is smaller than the sum of its proper divisors (326041272824538).

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

312213022000422 is a wasteful number, since it uses less digits than its factorization.

312213022000422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344909.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312213022000422 its reverse (224000220312213), we get a palindrome (536213242312635).

The spelling of 312213022000422 in words is "three hundred twelve trillion, two hundred thirteen billion, twenty-two million, four hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 61 122 179 183 358 366 537 1074 10919 14431 21838 28862 32757 43293 65514 86586 330233 660466 880291 990699 1760582 1981398 2583149 2640873 5166298 5281746 7749447 15498894 20144213 40288426 59111707 60432639 118223414 120865278 157572089 177335121 315144178 354670242 472716267 945432534 3605814127 4765592423 7211628254 9531184846 10817442381 14296777269 21634884762 28593554538 290701137803 581402275606 853041043717 872103413409 1706082087434 1744206826818 2559123131151 5118246262302 52035503666737 104071007333474 156106511000211 312213022000422