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11221020013120 = 265311709661879
BaseRepresentation
bin1010001101001001100011…
…1010010111001001000000
31110201201102011210200000021
42203102120322113021000
52432321122110404440
635510510533303224
72235456223250401
oct243223072271100
943651364720007
1011221020013120
1136368982a2085
121312860a94b14
136351a35443c8
142ab1591b99a8
15146d401d084a
hexa3498e97240

11221020013120 has 112 divisors (see below), whose sum is σ = 27598172083200. Its totient is φ = 4341072476160.

The previous prime is 11221020013079. The next prime is 11221020013121. The reversal of 11221020013120 is 2131002012211.

It is a super-2 number, since 2×112210200131202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11221020013094 and 11221020013103.

It is not an unprimeable number, because it can be changed into a prime (11221020013121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16622341 + ... + 17284219.

Almost surely, 211221020013120 is an apocalyptic number.

11221020013120 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 11221020013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13799086041600).

11221020013120 is an abundant number, since it is smaller than the sum of its proper divisors (16377152070080).

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

11221020013120 is a wasteful number, since it uses less digits than its factorization.

11221020013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663636 (or 663626 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11221020013120 its reverse (2131002012211), we get a palindrome (13352022025331).

The spelling of 11221020013120 in words is "eleven trillion, two hundred twenty-one billion, twenty million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1709 1984 2480 3418 4960 6836 8545 9920 13672 17090 27344 34180 52979 54688 68360 105958 109376 136720 211916 264895 273440 423832 529790 546880 661879 847664 1059580 1323758 1695328 2119160 2647516 3309395 3390656 4238320 5295032 6618790 8476640 10590064 13237580 16953280 20518249 21180128 26475160 41036498 42360256 52950320 82072996 102591245 105900640 164145992 205182490 211801280 328291984 410364980 656583968 820729960 1131151211 1313167936 1641459920 2262302422 3282919840 4524604844 5655756055 6565839680 9049209688 11311512110 18098419376 22623024220 35065687541 36196838752 45246048440 70131375082 72393677504 90492096880 140262750164 175328437705 180984193760 280525500328 350656875410 361968387520 561051000656 701313750820 1122102001312 1402627501640 2244204002624 2805255003280 5610510006560 11221020013120