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11220211111002 = 233753259304961
BaseRepresentation
bin1010001101000110100010…
…1100101001010001011010
31110201122022210201011220120
42203101220230221101122
52432312443021023002
635510254355534110
72235430201556235
oct243215054512132
943648283634816
1011220211111002
113636512730a33
121312675bba336
136350a4a955ba
142ab0bd9b441c
15146ce419acbc
hexa3468b2945a

11220211111002 has 96 divisors (see below), whose sum is σ = 23888185796160. Its totient is φ = 3509801717760.

The previous prime is 11220211111001. The next prime is 11220211111009. The reversal of 11220211111002 is 20011111202211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11220211111001) 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 47 ways as a sum of consecutive naturals, for example, 36639802 + ... + 36944762.

It is an arithmetic number, because the mean of its divisors is an integer number (248835268710).

Almost surely, 211220211111002 is an apocalyptic number.

11220211111002 is an abundant number, since it is smaller than the sum of its proper divisors (12667974685158).

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

11220211111002 is a wasteful number, since it uses less digits than its factorization.

11220211111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305168 (or 305115 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11220211111002 its reverse (20011111202211), we get a palindrome (31231322313213).

The spelling of 11220211111002 in words is "eleven trillion, two hundred twenty billion, two hundred eleven million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 37 53 59 74 106 111 118 159 177 222 318 354 1961 2183 2809 3127 3922 4366 5618 5883 6254 6549 8427 9381 11766 13098 16854 18762 103933 115699 165731 207866 231398 304961 311799 331462 347097 497193 609922 623598 694194 914883 994386 1829766 6132047 11283557 12264094 16162933 17992699 18396141 22567114 32325866 33850671 35985398 36792282 48488799 53978097 67701342 96977598 107956194 598028521 665729863 856635449 953613047 1196057042 1331459726 1713270898 1794085563 1907226094 1997189589 2569906347 2860839141 3588171126 3994379178 5139812694 5721678282 31695511613 35283682739 50541491491 63391023226 70567365478 95086534839 101082982982 105851048217 151624474473 190173069678 211702096434 303248948946 1870035185167 3740070370334 5610105555501 11220211111002