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1211000102070 = 2351117335360091
BaseRepresentation
bin10001100111110101001…
…110110001110010110110
311021202210200100012020020
4101213311032301302312
5124320112011231240
62324154210550010
7153330466012323
oct21476516616266
94252720305206
101211000102070
11427644a94640
12176849598306
138a273549945
1442881423b4a
152177a79a0d0
hex119f53b1cb6

1211000102070 has 128 divisors (see below), whose sum is σ = 3198032782848. Its totient is φ = 291047116800.

The previous prime is 1211000102017. The next prime is 1211000102071. The reversal of 1211000102070 is 702010001121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211000102071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20122725 + ... + 20182815.

It is an arithmetic number, because the mean of its divisors is an integer number (24984631116).

Almost surely, 21211000102070 is an apocalyptic number.

1211000102070 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 1211000102070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599016391424).

1211000102070 is an abundant number, since it is smaller than the sum of its proper divisors (1987032680778).

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

1211000102070 is a wasteful number, since it uses less digits than its factorization.

1211000102070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60638.

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 1211000102070 its reverse (702010001121), we get a palindrome (1913010103191).

The spelling of 1211000102070 in words is "one trillion, two hundred eleven billion, one hundred two thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 173 330 346 353 519 706 865 1038 1059 1730 1765 1903 2118 2595 3530 3806 3883 5190 5295 5709 7766 9515 10590 11418 11649 19030 19415 23298 28545 38830 57090 58245 60091 61069 116490 120182 122138 180273 183207 300455 305345 360546 366414 600910 610690 661001 671759 901365 916035 1322002 1343518 1802730 1832070 1983003 2015277 3305005 3358795 3966006 4030554 6610010 6717590 9915015 10076385 10395743 19830030 20152770 20791486 21212123 31187229 42424246 51978715 62374458 63636369 103957430 106060615 114353173 127272738 155936145 212121230 228706346 233333353 311872290 318181845 343059519 466666706 571765865 636363690 686119038 700000059 1143531730 1166666765 1400000118 1715297595 2333333530 3430595190 3500000295 3669697279 7000000590 7339394558 11009091837 18348486395 22018183674 36696972790 40366670069 55045459185 80733340138 110090918370 121100010207 201833350345 242200020414 403666700690 605500051035 1211000102070