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1011030311214 = 234711233523957
BaseRepresentation
bin11101011011001100001…
…10100100000100101110
310120122122102220021220000
432231212012210010232
5113031042224424324
62052243320205130
7133021162564530
oct16554606440456
93518572807800
101011030311214
1135a859286a80
12143b400097a6
1374455576a01
1436d11367850
151b474ce19c9
hexeb661a412e

1011030311214 has 160 divisors (see below), whose sum is σ = 2947269321216. Its totient is φ = 251187583680.

The previous prime is 1011030311177. The next prime is 1011030311231. The reversal of 1011030311214 is 4121130301101.

It is a happy number.

1011030311214 is a `hidden beast` number, since 1 + 0 + 110 + 30 + 311 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1475077 + ... + 2048880.

Almost surely, 21011030311214 is an apocalyptic number.

1011030311214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1011030311214 is an abundant number, since it is smaller than the sum of its proper divisors (1936239010002).

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

1011030311214 is a wasteful number, since it uses less digits than its factorization.

1011030311214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524012 (or 3524003 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1011030311214 its reverse (4121130301101), we get a palindrome (5132160612315).

The spelling of 1011030311214 in words is "one trillion, eleven billion, thirty million, three hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 27 33 42 46 54 63 66 69 77 81 99 126 138 154 161 162 189 198 207 231 253 297 322 378 414 462 483 506 567 594 621 693 759 891 966 1134 1242 1386 1449 1518 1771 1782 1863 2079 2277 2898 3542 3726 4158 4347 4554 5313 6237 6831 8694 10626 12474 13041 13662 15939 20493 26082 31878 40986 47817 95634 143451 286902 3523957 7047914 10571871 21143742 24667699 31715613 38763527 49335398 63431226 74003097 77527054 81051011 95146839 116290581 148006194 162102022 190293678 222009291 232581162 243153033 271344689 285440517 348871743 444018582 486306066 542689378 567357077 570881034 666027873 697743486 729459099 814034067 891561121 1046615229 1134714154 1332055746 1458918198 1628068134 1702071231 1783122242 1998083619 2093230458 2188377297 2442102201 2674683363 3139845687 3404142462 3996167238 4376754594 4884204402 5106213693 5349366726 6240927847 6279691374 6565131891 7326306603 8024050089 10212427386 12481855694 13130263782 14652613206 15318641079 16048100178 18722783541 21978919809 24072150267 30637282158 37445567082 43957839618 45955923237 48144300534 56168350623 72216450801 91911846474 112336701246 144432901602 168505051869 337010103738 505515155607 1011030311214