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1122200011005 = 353110930677219
BaseRepresentation
bin10000010101001000010…
…101010100000011111101
310222021121001022011201120
4100111020111110003331
5121341231200323010
62215310452501153
7144035106464463
oct20251025240375
93867531264646
101122200011005
113a2a16717927
121615a661a7b9
1381a911b9568
143c459a30833
151e2ce93be70
hex105485540fd

1122200011005 has 64 divisors (see below), whose sum is σ = 1871313100800. Its totient is φ = 573619656960.

The previous prime is 1122200011003. The next prime is 1122200011027. The reversal of 1122200011005 is 5001100022211.

It is not a de Polignac number, because 1122200011005 - 21 = 1122200011003 is a prime.

It is a super-2 number, since 2×11222000110052 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122200011003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 155447286 + ... + 155454504.

It is an arithmetic number, because the mean of its divisors is an integer number (29239267200).

Almost surely, 21122200011005 is an apocalyptic number.

1122200011005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1122200011005 is a deficient number, since it is larger than the sum of its proper divisors (749113089795).

1122200011005 is a wasteful number, since it uses less digits than its factorization.

1122200011005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 1122200011005 its reverse (5001100022211), we get a palindrome (6123300033216).

The spelling of 1122200011005 in words is "one trillion, one hundred twenty-two billion, two hundred million, eleven thousand, five".

Divisors: 1 3 5 15 31 93 109 155 327 465 545 1635 3067 3379 7219 9201 10137 15335 16895 21657 36095 46005 50685 95077 108285 223789 285231 334303 475385 671367 786871 1002909 1118945 1426155 1671515 2360613 3356835 3934355 5014545 10363393 11803065 22140673 24393001 31090179 51816965 66422019 73179003 110703365 121965005 155450895 332110095 365895015 686360863 2059082589 2413333357 3431804315 7240000071 10295412945 12066666785 36200000355 74813334067 224440002201 374066670335 1122200011005