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1020011212011 = 3114347101163929
BaseRepresentation
bin11101101011111010110…
…01111110110011101011
310121111211100001022201110
432311331121332303223
5113202440332241021
62100330420121403
7133456554151011
oct16657531766353
93544740038643
101020011212011
11363647812740
12145827836263
137525709a8ac
143752400a8b1
151b7ed499476
hexed7d67eceb

1020011212011 has 128 divisors (see below), whose sum is σ = 1577110487040. Its totient is φ = 580898304000.

The previous prime is 1020011212001. The next prime is 1020011212049. The reversal of 1020011212011 is 1102121100201.

It is not a de Polignac number, because 1020011212011 - 27 = 1020011211883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020011212001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1097966395 + ... + 1097967323.

It is an arithmetic number, because the mean of its divisors is an integer number (12321175680).

Almost surely, 21020011212011 is an apocalyptic number.

1020011212011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020011212011 is a deficient number, since it is larger than the sum of its proper divisors (557099275029).

1020011212011 is a wasteful number, since it uses less digits than its factorization.

1020011212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1020011212011 its reverse (1102121100201), we get a palindrome (2122132312212).

It can be divided in two parts, 10200 and 11212011, that added together give a palindrome (11222211).

The spelling of 1020011212011 in words is "one trillion, twenty billion, eleven million, two hundred twelve thousand, eleven".

Divisors: 1 3 11 33 43 47 101 129 141 163 303 473 489 517 929 1111 1419 1551 1793 2021 2787 3333 4343 4747 5379 6063 7009 7661 10219 13029 14241 16463 21027 22231 22983 30657 39947 43663 47773 49389 52217 66693 77099 84271 93829 119841 130989 143319 151427 156651 181093 204121 231297 252813 281487 329423 439417 454281 480293 543279 612363 707909 773761 988269 1032119 1318251 1440879 1665697 1877509 2123727 2245331 2321283 3096357 3623653 4034647 4409963 4997091 5632527 6511361 6735993 7117069 7786999 8511371 10870959 12103941 13229889 15294127 19534083 20652599 21351207 23360997 25534113 33271723 44381117 45882381 48509593 61957797 71624971 78287759 99815169 133143351 145528779 168235397 189628409 214874913 234863277 306033967 365988953 504706191 568885227 657647461 718823969 918101901 1097966859 1972942383 2085912499 2156471907 3366373637 6257737497 7234122071 7907063659 10099120911 21702366213 23721190977 30909430667 92728292001 340003737337 1020011212011