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10201012303230 = 2335724412211127
BaseRepresentation
bin1001010001110001101110…
…1101101111010101111110
31100010012121002100021022000
42110130123231233111332
52314113133122200410
633410140320203130
72101666410623550
oct224343355572576
940105532307260
1010201012303230
113283252561661
1211890364694a6
1358cc4a101898
14273a358414d0
1512a5421c8dc0
hex9471bb6f57e

10201012303230 has 128 divisors (see below), whose sum is σ = 31101549557760. Its totient is φ = 2330703694080.

The previous prime is 10201012303129. The next prime is 10201012303249. The reversal of 10201012303230 is 3230321010201.

10201012303230 is a `hidden beast` number, since 1 + 0 + 201 + 0 + 1 + 230 + 3 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3507927 + ... + 5719053.

It is an arithmetic number, because the mean of its divisors is an integer number (242980855920).

Almost surely, 210201012303230 is an apocalyptic number.

10201012303230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201012303230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550774778880).

10201012303230 is an abundant number, since it is smaller than the sum of its proper divisors (20900537254530).

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

10201012303230 is a wasteful number, since it uses less digits than its factorization.

10201012303230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213591 (or 2213585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10201012303230 its reverse (3230321010201), we get a palindrome (13431333313431).

The spelling of 10201012303230 in words is "ten trillion, two hundred one billion, twelve million, three hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 2441 4882 7323 12205 14646 17087 21969 24410 34174 36615 43938 51261 65907 73230 85435 102522 109845 131814 153783 170870 219690 256305 307566 329535 461349 512610 659070 768915 922698 1537830 2211127 2306745 4422254 4613490 6633381 11055635 13266762 15477889 19900143 22111270 30955778 33166905 39800286 46433667 59700429 66333810 77389445 92867334 99500715 119400858 139301001 154778890 199001430 232168335 278602002 298502145 417903003 464336670 597004290 696505005 835806006 1393010010 2089515015 4179030030 5397361007 10794722014 16192083021 26986805035 32384166042 37781527049 48576249063 53973610070 75563054098 80960415105 97152498126 113344581147 145728747189 161920830210 188907635245 226689162294 242881245315 291457494378 340033743441 377815270490 485762490630 566722905735 680067486882 728643735945 1020101230323 1133445811470 1457287471890 1700168717205 2040202460646 3400337434410 5100506151615 10201012303230