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312234200041330 = 257171913701371177
BaseRepresentation
bin100011011111110011011000…
…0100101001000011101110010
31111221112022001020201111002101
41012333212300211020131302
5311411121120202310310
63024022224502011014
7122524114356140650
oct10677466045103562
91457468036644071
10312234200041330
119053a864aa3796
122b0290b5a16a6a
131052b73569a3c8
145716304687dd0
152616ddc41943a
hex11bf9b0948772

312234200041330 has 128 divisors (see below), whose sum is σ = 683840578166784. Its totient is φ = 100199703552000.

The previous prime is 312234200041319. The next prime is 312234200041343. The reversal of 312234200041330 is 33140002432213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 841014702 + ... + 841385878.

It is an arithmetic number, because the mean of its divisors is an integer number (5342504516928).

Almost surely, 2312234200041330 is an apocalyptic number.

312234200041330 is an abundant number, since it is smaller than the sum of its proper divisors (371606378125454).

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

312234200041330 is a wasteful number, since it uses less digits than its factorization.

312234200041330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375100.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312234200041330 its reverse (33140002432213), we get a palindrome (345374202473543).

The spelling of 312234200041330 in words is "three hundred twelve trillion, two hundred thirty-four billion, two hundred million, forty-one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 191 238 382 595 955 1190 1337 1910 2674 3247 3701 6494 6685 7402 13370 16235 18505 22729 25907 32470 37010 45458 51814 62917 113645 125834 129535 227290 259070 314585 371177 440419 629170 706891 742354 880838 1413782 1855885 2202095 2598239 3534455 3711770 4404190 4948237 5196478 6310009 7068910 9896474 12017147 12620018 12991195 24034294 24741185 25982390 31550045 44170063 49482370 60085735 63100090 70894807 84120029 88340126 120171470 141789614 168240058 220850315 354474035 420600145 441700630 496263649 708948070 841200290 992527298 1205211719 1373726077 2410423438 2481318245 2747452154 4962636490 6026058595 6868630385 8436482033 9616082539 12052117190 13737260770 16872964066 19232165078 23353343309 42182410165 46706686618 48080412695 84364820330 96160825390 116766716545 163473403163 233533433090 262381680707 326946806326 524763361414 817367015815 1311908403535 1634734031630 1836671764949 2623816807070 3673343529898 4460488572019 8920977144038 9183358824745 18366717649490 22302442860095 31223420004133 44604885720190 62446840008266 156117100020665 312234200041330