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1012211934690 = 2351122711028953
BaseRepresentation
bin11101011101011001000…
…10000110010111100010
310120202200210022222120110
432232230202012113202
5113041002223402230
62053000450352150
7133062361325115
oct16565442062742
93522623288513
101012211934690
11360305281200
1214420b88b656
13745b33059b8
1436dc427257c
151b4e38ec4b0
hexebac8865e2

1012211934690 has 96 divisors (see below), whose sum is σ = 2680087673088. Its totient is φ = 244478995200.

The previous prime is 1012211934659. The next prime is 1012211934691. The reversal of 1012211934690 is 964391122101.

1012211934690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10122119346902 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012211934691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469254 + ... + 1498206.

It is an arithmetic number, because the mean of its divisors is an integer number (27917579928).

Almost surely, 21012211934690 is an apocalyptic number.

1012211934690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012211934690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340043836544).

1012211934690 is an abundant number, since it is smaller than the sum of its proper divisors (1667875738398).

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

1012211934690 is a wasteful number, since it uses less digits than its factorization.

1012211934690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029256 (or 1029245 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 1012211934690 in words is "one trillion, twelve billion, two hundred eleven million, nine hundred thirty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 271 330 363 542 605 726 813 1210 1355 1626 1815 2710 2981 3630 4065 5962 8130 8943 14905 17886 29810 32791 44715 65582 89430 98373 163955 196746 327910 491865 983730 1028953 2057906 3086859 5144765 6173718 10289530 11318483 15434295 22636966 30868590 33955449 56592415 67910898 113184830 124503313 169777245 249006626 278846263 339554490 373509939 557692526 622516565 747019878 836538789 1245033130 1394231315 1673077578 1867549695 2788462630 3067308893 3735099390 4182693945 6134617786 8365387890 9201926679 15336544465 18403853358 30673088930 33740397823 46009633395 67480795646 92019266790 101221193469 168701989115 202442386938 337403978230 506105967345 1012211934690