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10221303120 = 2435722327283
BaseRepresentation
bin10011000010011110…
…01011010101010000
3222101100011222221020
421201033023111100
5131413123144440
64410125555440
7511202433360
oct114117132520
928340158836
1010221303120
114375728356
121b93115b80
13c6b7c3072
146cd6cc9a0
153ec5243d0
hex2613cb550

10221303120 has 160 divisors (see below), whose sum is σ = 36376338432. Its totient is φ = 2325735936.

The previous prime is 10221303119. The next prime is 10221303133. The reversal of 10221303120 is 2130312201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221303120.

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, 360999 + ... + 388281.

Almost surely, 210221303120 is an apocalyptic number.

10221303120 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 10221303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188169216).

10221303120 is an abundant number, since it is smaller than the sum of its proper divisors (26155035312).

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

10221303120 is a wasteful number, since it uses less digits than its factorization.

10221303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27529 (or 27523 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10221303120 its reverse (2130312201), we get a palindrome (12351615321).

The spelling of 10221303120 in words is "ten billion, two hundred twenty-one million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 223 240 280 336 420 446 560 669 840 892 1115 1338 1561 1680 1784 2230 2676 3122 3345 3568 4460 4683 5352 6244 6690 7805 8920 9366 10704 12488 13380 15610 17840 18732 23415 24976 26760 27283 31220 37464 46830 53520 54566 62440 74928 81849 93660 109132 124880 136415 163698 187320 190981 218264 272830 327396 374640 381962 409245 436528 545660 572943 654792 763924 818490 954905 1091320 1145886 1309584 1527848 1636980 1909810 2182640 2291772 2864715 3055696 3273960 3819620 4583544 5729430 6084109 6547920 7639240 9167088 11458860 12168218 15278480 18252327 22917720 24336436 30420545 36504654 42588763 45835440 48672872 60841090 73009308 85177526 91261635 97345744 121682180 127766289 146018616 170355052 182523270 212943815 243364360 255532578 292037232 340710104 365046540 425887630 486728720 511065156 638831445 681420208 730093080 851775260 1022130312 1277662890 1460186160 1703550520 2044260624 2555325780 3407101040 5110651560 10221303120