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102000323023320 = 23353534016004837
BaseRepresentation
bin10111001100010011001101…
…000001010101000111011000
3111101011010122212222122221110
4113030103031001111013120
5101332133130143221240
61000534145043140320
730325165043250261
oct2714231501250730
9441133585878843
10102000323023320
112a556104227187
12b5344199746a0
1344bb7875a9677
141b28bb0549968
15bbd3e0d07c80
hex5cc4cd0551d8

102000323023320 has 128 divisors (see below), whose sum is σ = 307633134997440. Its totient is φ = 27055389081600.

The previous prime is 102000323023309. The next prime is 102000323023369. The reversal of 102000323023320 is 23320323000201.

It is a congruent number.

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, 13983942 + ... + 19988778.

Almost surely, 2102000323023320 is an apocalyptic number.

102000323023320 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 102000323023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153816567498720).

102000323023320 is an abundant number, since it is smaller than the sum of its proper divisors (205632811974120).

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

102000323023320 is a wasteful number, since it uses less digits than its factorization.

102000323023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005605 (or 6005601 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 102000323023320 its reverse (23320323000201), we get a palindrome (125320646023521).

The spelling of 102000323023320 in words is "one hundred two trillion, three hundred twenty-three million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353 401 706 802 1059 1203 1412 1604 1765 2005 2118 2406 2824 3208 3530 4010 4236 4812 5295 6015 7060 8020 8472 9624 10590 12030 14120 16040 21180 24060 42360 48120 141553 283106 424659 566212 707765 849318 1132424 1415530 1698636 2123295 2831060 3397272 4246590 5662120 6004837 8493180 12009674 16986360 18014511 24019348 30024185 36029022 48038696 60048370 72058044 90072555 120096740 144116088 180145110 240193480 360290220 720580440 2119707461 2407939637 4239414922 4815879274 6359122383 7223818911 8478829844 9631758548 10598537305 12039698185 12718244766 14447637822 16957659688 19263517096 21197074610 24079396370 25436489532 28895275644 31795611915 36119094555 42394149220 48158792740 50872979064 57790551288 63591223830 72238189110 84788298440 96317585480 127182447660 144476378220 254364895320 288952756440 850002691861 1700005383722 2550008075583 3400010767444 4250013459305 5100016151166 6800021534888 8500026918610 10200032302332 12750040377915 17000053837220 20400064604664 25500080755830 34000107674440 51000161511660 102000323023320