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10103330312020 = 22511210957167079
BaseRepresentation
bin1001001100000101110101…
…1010100000111101010100
31022202212110110102222022201
42103001131122200331110
52311013110024441040
633253223400134244
72061640641453301
oct223013532407524
938685413388281
1010103330312020
113245886627900
121172114a67384
1358398090129a
1426d00a5ba0a8
15127c2671ba9a
hex9305d6a0f54

10103330312020 has 144 divisors (see below), whose sum is σ = 23576682729600. Its totient is φ = 3633803078400.

The previous prime is 10103330311999. The next prime is 10103330312027. The reversal of 10103330312020 is 2021303330101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103330312027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150584841 + ... + 150651919.

It is an arithmetic number, because the mean of its divisors is an integer number (163726963400).

Almost surely, 210103330312020 is an apocalyptic number.

10103330312020 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 10103330312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11788341364800).

10103330312020 is an abundant number, since it is smaller than the sum of its proper divisors (13473352417580).

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

10103330312020 is a wasteful number, since it uses less digits than its factorization.

10103330312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67790 (or 67777 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10103330312020 its reverse (2021303330101), we get a palindrome (12124633642121).

The spelling of 10103330312020 in words is "ten trillion, one hundred three billion, three hundred thirty million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 121 218 220 242 436 484 545 571 605 1090 1142 1199 1210 2180 2284 2398 2420 2855 4796 5710 5995 6281 11420 11990 12562 13189 23980 25124 26378 31405 52756 62239 62810 65945 67079 69091 124478 125620 131890 134158 138182 248956 263780 268316 276364 311195 335395 345455 622390 670790 684629 690910 737869 1244780 1341580 1369258 1381820 1475738 2738516 2951476 3423145 3689345 6846290 7311611 7378690 7530919 8116559 13692580 14623222 14757380 15061838 16233118 29246444 30123676 32466236 36558055 37654595 38302109 40582795 73116110 75309190 76604218 80427721 81165590 146232220 150618380 153208436 160855442 162331180 191510545 321710884 383021090 402138605 421323199 766042180 804277210 842646398 884704931 1608554420 1685292796 1769409862 2106615995 3538819724 4174929881 4213231990 4423524655 4634555189 8349859762 8426463980 8847049310 9269110378 16699719524 17694098620 18538220756 20874649405 23172775945 41749298810 45924228691 46345551890 83498597620 91848457382 92691103780 183696914764 229621143455 459242286910 505166515601 918484573820 1010333031202 2020666062404 2525832578005 5051665156010 10103330312020