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2013203202320 = 2451929371234367
BaseRepresentation
bin11101010010111100010…
…000110000000100010000
321010110102121000000121102
4131102330100300010100
5230441020004433240
64140504111243532
7265310023605212
oct35227420600420
97113377000542
102013203202320
117068817a6142
122862098195a8
13117ac8a71b1b
146d6221d25b2
153757c1bc815
hex1d4bc430110

2013203202320 has 160 divisors (see below), whose sum is σ = 5234707814400. Its totient is φ = 716682774528.

The previous prime is 2013203202287. The next prime is 2013203202323. The reversal of 2013203202320 is 232023023102.

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 = 2013203202292 and 2013203202301.

It is not an unprimeable number, because it can be changed into a prime (2013203202323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013777 + ... + 2248143.

It is an arithmetic number, because the mean of its divisors is an integer number (32716923840).

Almost surely, 22013203202320 is an apocalyptic number.

2013203202320 is a gapful number since it is divisible by the number (20) 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 2013203202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617353907200).

2013203202320 is an abundant number, since it is smaller than the sum of its proper divisors (3221504612080).

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

2013203202320 is a wasteful number, since it uses less digits than its factorization.

2013203202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234465 (or 1234459 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2013203202320 its reverse (232023023102), we get a palindrome (2245226225422).

The spelling of 2013203202320 in words is "two trillion, thirteen billion, two hundred three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 37 38 40 58 74 76 80 95 116 145 148 152 185 190 232 290 296 304 370 380 464 551 580 592 703 740 760 1073 1102 1160 1406 1480 1520 2146 2204 2320 2755 2812 2960 3515 4292 4408 5365 5510 5624 7030 8584 8816 10730 11020 11248 14060 17168 20387 21460 22040 28120 40774 42920 44080 56240 81548 85840 101935 163096 203870 326192 407740 815480 1234367 1630960 2468734 4937468 6171835 9874936 12343670 19749872 23452973 24687340 35796643 45671579 46905946 49374680 71593286 91343158 93811892 98749360 117264865 143186572 178983215 182686316 187623784 228357895 234529730 286373144 357966430 365372632 375247568 456715790 469059460 572746288 680136217 715932860 730745264 867760001 913431580 938118920 1324475791 1360272434 1431865720 1735520002 1826863160 1876237840 2648951582 2720544868 2863731440 3400681085 3471040004 3653726320 4338800005 5297903164 5441089736 6622378955 6801362170 6942080008 8677600010 10595806328 10882179472 13244757910 13602724340 13884160016 17355200020 21191612656 25165040029 26489515820 27205448680 34710400040 50330080058 52979031640 54410897360 69420800080 100660160116 105958063280 125825200145 201320320232 251650400290 402640640464 503300800580 1006601601160 2013203202320