Search a number
-
+
11210202100020 = 22357112426450671
BaseRepresentation
bin1010001100100001010000…
…0111010011000100110100
31110200200111020222202001010
42203020110013103010310
52432131443214200040
635501521252032220
72234624154434220
oct243102407230464
943620436882033
1011210202100020
113632246921930
121310742002670
1363416b2717b1
142aa810587780
1514690a60ce80
hexa32141d3134

11210202100020 has 96 divisors (see below), whose sum is σ = 39133796438016. Its totient is φ = 2329392643200.

The previous prime is 11210202099953. The next prime is 11210202100087. The reversal of 11210202100020 is 2000120201211.

It is an interprime number because it is at equal distance from previous prime (11210202099953) and next prime (11210202100087).

It is a super-2 number, since 2×112102021000202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11210202099969 and 11210202100005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213220716 + ... + 1213229955.

It is an arithmetic number, because the mean of its divisors is an integer number (407643712896).

Almost surely, 211210202100020 is an apocalyptic number.

11210202100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210202100020 is an abundant number, since it is smaller than the sum of its proper divisors (27923594337996).

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

11210202100020 is a wasteful number, since it uses less digits than its factorization.

11210202100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426450701 (or 2426450699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11210202100020 its reverse (2000120201211), we get a palindrome (13210322301231).

The spelling of 11210202100020 in words is "eleven trillion, two hundred ten billion, two hundred two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 2426450671 4852901342 7279352013 9705802684 12132253355 14558704026 16985154697 24264506710 26690957381 29117408052 33970309394 36396760065 48529013420 50955464091 53381914762 67940618788 72793520130 80072872143 84925773485 101910928182 106763829524 133454786905 145587040260 160145744286 169851546970 186836701667 203821856364 254777320455 266909573810 320291488572 339703093940 373673403334 400364360715 509554640910 533819147620 560510105001 747346806668 800728721430 934183508335 1019109281820 1121020210002 1601457442860 1868367016670 2242040420004 2802550525005 3736734033340 5605101050010 11210202100020