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1202113302320 = 245779107253949
BaseRepresentation
bin10001011111100011100…
…010010100111100110000
311020220212100020222202202
4101133203202110330300
5124143412001133240
62320124312002332
7152564326322210
oct21374342247460
94226770228682
101202113302320
114238a4690437
12174b893903a8
1389488382558
144227b078240
152140a4ce315
hex117e3894f30

1202113302320 has 160 divisors (see below), whose sum is σ = 3264862464000. Its totient is φ = 403131276288.

The previous prime is 1202113302311. The next prime is 1202113302359. The reversal of 1202113302320 is 232033112021.

It is a super-2 number, since 2×12021133023202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1202113302292 and 1202113302301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4606706 + ... + 4860654.

It is an arithmetic number, because the mean of its divisors is an integer number (20405390400).

Almost surely, 21202113302320 is an apocalyptic number.

1202113302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202113302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632431232000).

1202113302320 is an abundant number, since it is smaller than the sum of its proper divisors (2062749161680).

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

1202113302320 is a wasteful number, since it uses less digits than its factorization.

1202113302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254155 (or 254149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1202113302320 its reverse (232033112021), we get a palindrome (1434146414341).

The spelling of 1202113302320 in words is "one trillion, two hundred two billion, one hundred thirteen million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 107 112 140 158 214 280 316 395 428 535 553 560 632 749 790 856 1070 1106 1264 1498 1580 1712 2140 2212 2765 2996 3160 3745 4280 4424 5530 5992 6320 7490 8453 8560 8848 11060 11984 14980 16906 22120 29960 33812 42265 44240 59171 59920 67624 84530 118342 135248 169060 236684 253949 295855 338120 473368 507898 591710 676240 946736 1015796 1183420 1269745 1777643 2031592 2366840 2539490 3555286 4063184 4733680 5078980 7110572 8888215 10157960 14221144 17776430 20061971 20315920 27172543 28442288 35552860 40123942 54345086 71105720 80247884 100309855 108690172 135862715 140433797 142211440 160495768 190207801 200619710 217380344 271725430 280867594 320991536 380415602 401239420 434760688 543450860 561735188 702168985 760831204 802478840 951039005 1086901720 1123470376 1404337970 1521662408 1604957680 1902078010 2146630897 2173803440 2246940752 2808675940 3043324816 3804156020 4293261794 5617351880 7608312040 8586523588 10733154485 11234703760 15026416279 15216624080 17173047176 21466308970 30052832558 34346094352 42932617940 60105665116 75132081395 85865235880 120211330232 150264162790 171730471760 240422660464 300528325580 601056651160 1202113302320