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13102023012320 = 2551121514481837
BaseRepresentation
bin1011111010101000110101…
…1011010110111111100000
31201101112121111210112201102
42332222031123112333200
53204130420342343240
643510553011453532
72521406226035114
oct276521533267740
951345544715642
1013102023012320
1141a159a46aa00
121577314bb72a8
1374069163b768
143341d9a11744
1517ac312cc815
hexbea8d6d6fe0

13102023012320 has 144 divisors (see below), whose sum is σ = 34248628389024. Its totient is φ = 4732818816000.

The previous prime is 13102023012307. The next prime is 13102023012341. The reversal of 13102023012320 is 2321032020131.

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 = 13102023012292 and 13102023012301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682442 + ... + 5164278.

It is an arithmetic number, because the mean of its divisors is an integer number (237837697146).

Almost surely, 213102023012320 is an apocalyptic number.

13102023012320 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 13102023012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124314194512).

13102023012320 is an abundant number, since it is smaller than the sum of its proper divisors (21146605376704).

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

13102023012320 is a wasteful number, since it uses less digits than its factorization.

13102023012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482025 (or 4482006 counting only the distinct ones).

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

Adding to 13102023012320 its reverse (2321032020131), we get a palindrome (15423055032451).

The spelling of 13102023012320 in words is "thirteen trillion, one hundred two billion, twenty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 151 160 176 220 242 302 352 440 484 604 605 755 880 968 1208 1210 1510 1661 1760 1936 2416 2420 3020 3322 3872 4832 4840 6040 6644 8305 9680 12080 13288 16610 18271 19360 24160 26576 33220 36542 53152 66440 73084 91355 132880 146168 182710 265760 292336 365420 584672 730840 1461680 2923360 4481837 8963674 17927348 22409185 35854696 44818370 49300207 71709392 89636740 98600414 143418784 179273480 197200828 246501035 358546960 394401656 493002070 542302277 676757387 717093920 788803312 986004140 1084604554 1353514774 1577606624 1972008280 2169209108 2707029548 2711511385 3383786935 3944016560 4338418216 5414059096 5423022770 6767573870 7444331257 7888033120 8676836432 10828118192 10846045540 13535147740 14888662514 17353672864 21656236384 21692091080 27070295480 29777325028 37221656285 43384182160 54140590960 59554650056 74443312570 81887643827 86768364320 108281181920 119109300112 148886625140 163775287654 238218600224 297773250280 327550575308 409438219135 595546500560 655101150616 818876438270 1191093001120 1310202301232 1637752876540 2620404602464 3275505753080 6551011506160 13102023012320