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317103462200420 = 225724332092344967
BaseRepresentation
bin100100000011001110110011…
…1001110001011010001100100
31112120202210110111112011102122
41020012131213032023101210
5313030410342310403140
63042231153000525112
7123535653255451100
oct11006354716132144
91476683414464378
10317103462200420
11920479065a6345
122b694937a80798
13107c2960a5b89c
145843c6497a900
15269d8c712cab5
hex120676738b464

317103462200420 has 144 divisors (see below), whose sum is σ = 792900653086080. Its totient is φ = 106159649895936.

The previous prime is 317103462200417. The next prime is 317103462200431. The reversal of 317103462200420 is 24002264301713.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 134054777 + ... + 136399743.

It is an arithmetic number, because the mean of its divisors is an integer number (5506254535320).

Almost surely, 2317103462200420 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 317103462200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396450326543040).

317103462200420 is an abundant number, since it is smaller than the sum of its proper divisors (475797190885660).

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

317103462200420 is a wasteful number, since it uses less digits than its factorization.

317103462200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348242 (or 2348233 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 317103462200420 in words is "three hundred seventeen trillion, one hundred three billion, four hundred sixty-two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 490 602 860 980 1204 1505 2107 3010 3209 4214 6020 6418 8428 10535 12836 16045 21070 22463 32090 42140 44926 64180 89852 112315 137987 157241 224630 275974 314482 449260 551948 628964 689935 786205 965909 1379870 1572410 1931818 2344967 2759740 3144820 3863636 4689934 4829545 6761363 9379868 9659090 11724835 13522726 16414769 19318180 23449670 27045452 32829538 33806815 46899340 65659076 67613630 82073845 100833581 114903383 135227260 164147690 201667162 229806766 328295380 403334324 459613532 504167905 574516915 705835067 1008335810 1149033830 1411670134 2016671620 2298067660 2823340268 3529175335 4940845469 7058350670 7524999103 9881690938 14116701340 15049998206 19763381876 24704227345 30099996412 37624995515 49408454690 52674993721 75249991030 98816909380 105349987442 150499982060 210699974884 263374968605 323574961429 368724956047 526749937210 647149922858 737449912094 1053499874420 1294299845716 1474899824188 1617874807145 1843624780235 2265024730003 3235749614290 3687249560470 4530049460006 6471499228580 7374499120940 9060098920012 11325123650015 15855173110021 22650247300030 31710346220042 45300494600060 63420692440084 79275865550105 158551731100210 317103462200420