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10002002211110 = 2571377621141601
BaseRepresentation
bin1001000110001100010111…
…0010011111000100100110
31022102011220201202010010102
42101203011302133010212
52302333100031223420
633134504551224102
72051422640015420
oct221430562370446
938364821663112
1010002002211110
113206909550948
121156556378032
13577252bc8120
14268157001810
15125295ae0a75
hex918c5c9f126

10002002211110 has 64 divisors (see below), whose sum is σ = 22158723775104. Its totient is φ = 3165405696000.

The previous prime is 10002002211083. The next prime is 10002002211193. The reversal of 10002002211110 is 1111220020001.

It is a super-4 number, since 4×100020022111104 (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002002211091 and 10002002211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70564310 + ... + 70705910.

It is an arithmetic number, because the mean of its divisors is an integer number (346230058986).

Almost surely, 210002002211110 is an apocalyptic number.

10002002211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002002211110 is an abundant number, since it is smaller than the sum of its proper divisors (12156721563994).

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

10002002211110 is a wasteful number, since it uses less digits than its factorization.

10002002211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219249.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10002002211110 its reverse (1111220020001), we get a palindrome (11113222231111).

The spelling of 10002002211110 in words is "ten trillion, two billion, two million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 77621 141601 155242 283202 388105 543347 708005 776210 991207 1009073 1086694 1416010 1840813 1982414 2018146 2716735 3681626 4956035 5045365 5433470 7063511 9204065 9912070 10090730 12885691 14127022 18408130 25771382 35317555 64428455 70635110 128856910 10991211221 21982422442 54956056105 76938478547 109912112210 142885745873 153876957094 285771491746 384692392735 714428729365 769384785470 1000200221111 1428857458730 2000400442222 5001001105555 10002002211110