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1013202131320 = 235315915788211
BaseRepresentation
bin11101011111001111000…
…11011001100101111000
310120212020210120011222201
432233213203121211320
5113100014221200240
62053243021555544
7133126044005551
oct16574743314570
93525223504881
101013202131320
11360773209625
12144447415bb4
13747104bc972
143707998b328
151b5507e3d9a
hexebe78d9978

1013202131320 has 128 divisors (see below), whose sum is σ = 2408399308800. Its totient is φ = 383099558400.

The previous prime is 1013202131299. The next prime is 1013202131369. The reversal of 1013202131320 is 231312023101.

It is a super-2 number, since 2×10132021313202 (a number of 25 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 31 ways as a sum of consecutive naturals, for example, 11442015 + ... + 11530225.

It is an arithmetic number, because the mean of its divisors is an integer number (18815619600).

Almost surely, 21013202131320 is an apocalyptic number.

1013202131320 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 1013202131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204199654400).

1013202131320 is an abundant number, since it is smaller than the sum of its proper divisors (1395197177480).

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

1013202131320 is a wasteful number, since it uses less digits than its factorization.

1013202131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88469 (or 88465 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1013202131320 its reverse (231312023101), we get a palindrome (1244514154421).

The spelling of 1013202131320 in words is "one trillion, thirteen billion, two hundred two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 59 62 118 124 155 157 236 248 295 310 314 472 590 620 628 785 1180 1240 1256 1570 1829 2360 3140 3658 4867 6280 7316 9145 9263 9734 14632 18290 18526 19468 24335 36580 37052 38936 46315 48670 73160 74104 88211 92630 97340 176422 185260 194680 287153 352844 370520 441055 574306 705688 882110 1148612 1435765 1764220 2297224 2734541 2871530 3528440 5204449 5469082 5743060 10408898 10938164 11486120 13672705 13849127 20817796 21876328 26022245 27345410 27698254 41635592 52044490 54690820 55396508 69245635 104088980 109381640 110793016 138491270 161337919 208177960 276982540 322675838 429322937 553965080 645351676 806689595 817098493 858645874 1290703352 1613379190 1634196986 1717291748 2146614685 3226758380 3268393972 3434583496 4085492465 4293229370 6453516760 6536787944 8170984930 8586458740 16341969860 17172917480 25330053283 32683939720 50660106566 101320213132 126650266415 202640426264 253300532830 506601065660 1013202131320