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10221301010130 = 23571571699182471
BaseRepresentation
bin1001010010111101010100…
…0001000000111011010010
31100012010222001010100221220
42110233111001000323102
52314431211024311010
633423333441425510
72103315240033540
oct224572501007322
940163861110856
1010221301010130
113290913a51421
121190b5903b296
13591b31551cb2
142749dc1dad90
1512ad2d472970
hex94bd5040ed2

10221301010130 has 128 divisors (see below), whose sum is σ = 28230900019200. Its totient is φ = 2320037441280.

The previous prime is 10221301010029. The next prime is 10221301010131. The reversal of 10221301010130 is 3101010312201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10221301010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55924795 + ... + 56107265.

It is an arithmetic number, because the mean of its divisors is an integer number (220553906400).

Almost surely, 210221301010130 is an apocalyptic number.

10221301010130 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 10221301010130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115450009600).

10221301010130 is an abundant number, since it is smaller than the sum of its proper divisors (18009599009070).

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

10221301010130 is a wasteful number, since it uses less digits than its factorization.

10221301010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184344.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10221301010130 its reverse (3101010312201), we get a palindrome (13322311322331).

The spelling of 10221301010130 in words is "ten trillion, two hundred twenty-one billion, three hundred one million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 157 210 314 471 785 942 1099 1570 1699 2198 2355 3297 3398 4710 5097 5495 6594 8495 10194 10990 11893 16485 16990 23786 25485 32970 35679 50970 59465 71358 118930 178395 182471 266743 356790 364942 533486 547413 800229 912355 1094826 1277297 1333715 1600458 1824710 1867201 2554594 2667430 2737065 3734402 3831891 4001145 5474130 5601603 6386485 7663782 8002290 9336005 11203206 12772970 18672010 19159455 28008015 28647947 38318910 56016030 57295894 85943841 143239735 171887682 200535629 286479470 310018229 401071258 429719205 601606887 620036458 859438410 930054687 1002678145 1203213774 1550091145 1860109374 2005356290 2170127603 3008034435 3100182290 4340255206 4650273435 6016068870 6510382809 9300546870 10850638015 13020765618 21701276030 32551914045 48672861953 65103828090 97345723906 146018585859 243364309765 292037171718 340710033671 486728619530 681420067342 730092929295 1022130101013 1460185858590 1703550168355 2044260202026 3407100336710 5110650505065 10221301010130