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3101310030312 = 233413449819937
BaseRepresentation
bin101101001000010100011…
…110111001000111101000
3101222111000121222001110000
4231020110132321013220
5401302440331432222
610332415553023000
7440030232206664
oct55102436710750
911874017861400
103101310030312
11a9629272aa5a
1242107a554a60
131965b5879bc0
14aa165d298a4
1555a139a09ac
hex2d2147b91e8

3101310030312 has 160 divisors (see below), whose sum is σ = 9375581061000. Its totient is φ = 952122802176.

The previous prime is 3101310030263. The next prime is 3101310030349. The reversal of 3101310030312 is 2130300131013.

It is a happy number.

3101310030312 is a `hidden beast` number, since 3 + 10 + 1 + 310 + 0 + 30 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2530943719236 + 570366311076 = 1590894^2 + 755226^2 .

It is a super-3 number, since 3×31013100303123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3372408 + ... + 4192344.

Almost surely, 23101310030312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101310030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687790530500).

3101310030312 is an abundant number, since it is smaller than the sum of its proper divisors (6274271030688).

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

3101310030312 is a wasteful number, since it uses less digits than its factorization.

3101310030312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820417 (or 820404 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3101310030312 its reverse (2130300131013), we get a palindrome (5231610161325).

The spelling of 3101310030312 in words is "three trillion, one hundred one billion, three hundred ten million, thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 449 468 648 702 898 936 1053 1347 1404 1796 2106 2694 2808 3592 4041 4212 5388 5837 8082 8424 10776 11674 12123 16164 17511 23348 24246 32328 35022 36369 46696 48492 52533 70044 72738 96984 105066 140088 145476 157599 210132 290952 315198 420264 472797 630396 819937 945594 1260792 1639874 1891188 2459811 3279748 3782376 4919622 6559496 7379433 9839244 10659181 14758866 19678488 21318362 22138299 29517732 31977543 42636724 44276598 59035464 63955086 66414897 85273448 88553196 95932629 127910172 132829794 177106392 191865258 255820344 265659588 287797887 368151713 383730516 531319176 575595774 736303426 767461032 863393661 1104455139 1151191548 1472606852 1726787322 2208910278 2302383096 2945213704 3313365417 3453574644 4417820556 4785972269 6626730834 6907149288 8835641112 9571944538 9940096251 13253461668 14357916807 19143889076 19880192502 26506923336 28715833614 29820288753 38287778152 39760385004 43073750421 57431667228 59640577506 79520770008 86147500842 114863334456 119281155012 129221251263 172295001684 238562310024 258442502526 344590003368 387663753789 516885005052 775327507578 1033770010104 1550655015156 3101310030312