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313033341442100 = 225264765320833557
BaseRepresentation
bin100011100101100111100000…
…1000111101001100000110100
31112001100200202210020212100112
41013023033001013221200310
5312012214240402121400
63025433310511402152
7122635625006025146
oct10713170107514064
91461320683225315
10313033341442100
1190818770533144
122b137b60823358
1310588bc07b76a6
145742c7498cc96
15262cab015b835
hex11cb3c11e9834

313033341442100 has 144 divisors (see below), whose sum is σ = 681892865313408. Its totient is φ = 124733348866560.

The previous prime is 313033341442091. The next prime is 313033341442117. The reversal of 313033341442100 is 1244143330313.

It is a happy number.

It is a super-2 number, since 2×3130333414421002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 88004873522 + ... + 88004877078.

It is an arithmetic number, because the mean of its divisors is an integer number (4735367120232).

Almost surely, 2313033341442100 is an apocalyptic number.

It is an amenable number.

313033341442100 is an abundant number, since it is smaller than the sum of its proper divisors (368859523871308).

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

313033341442100 is a wasteful number, since it uses less digits than its factorization.

313033341442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 313033341442100 its reverse (1244143330313), we get a palindrome (314277484772413).

The spelling of 313033341442100 in words is "three hundred thirteen trillion, thirty-three billion, three hundred forty-one million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 647 653 1294 1306 2083 2588 2612 3235 3265 3557 4166 6470 6530 7114 8332 10415 12940 13060 14228 16175 16325 17785 20830 32350 32650 35570 41660 52075 64700 65300 71140 88925 104150 177850 208300 355700 422491 844982 1347701 1360199 1689964 2112455 2301379 2322721 2695402 2720398 4224910 4602758 4645442 5390804 5440796 6738505 6800995 7409231 8449820 9205516 9290884 10562275 11506895 11613605 13477010 13601990 14818462 21124550 23013790 23227210 26954020 27203980 29636924 33692525 34004975 37046155 42249100 46027580 46454420 57534475 58068025 67385050 68009950 74092310 115068950 116136050 134770100 136019900 148184620 185230775 230137900 232272100 370461550 740923100 880048753 1502800487 1760097506 3005600974 3520195012 4400243765 4793772457 4838227843 6011201948 7514002435 8800487530 9587544914 9676455686 15028004870 17600975060 19175089828 19352911372 22001218825 23968862285 24191139215 30056009740 37570012175 44002437650 47937724570 48382278430 75140024350 88004875300 95875449140 96764556860 119844311425 120955696075 150280048700 239688622850 241911392150 479377245700 483822784300 3130333414421 6260666828842 12521333657684 15651667072105 31303334144210 62606668288420 78258335360525 156516670721050 313033341442100