Search a number
-
+
1211023123032 = 233175239675869
BaseRepresentation
bin10001100111110110100…
…110100110001001011000
311021202212021122210001110
4101213312212212021120
5124320133404414112
62324200352220320
7153331165462662
oct21476646461130
94252767583043
101211023123032
11427656a88628
1217685523a6a0
138a27824a108
14428844d7532
152177c7e613c
hex119f69a6258

1211023123032 has 128 divisors (see below), whose sum is σ = 3215647987200. Its totient is φ = 378745694208.

The previous prime is 1211023123019. The next prime is 1211023123039. The reversal of 1211023123032 is 2303213201121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211023123039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206339394 + ... + 206345262.

It is an arithmetic number, because the mean of its divisors is an integer number (25122249900).

Almost surely, 21211023123032 is an apocalyptic number.

1211023123032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211023123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607823993600).

1211023123032 is an abundant number, since it is smaller than the sum of its proper divisors (2004624864168).

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

1211023123032 is a wasteful number, since it uses less digits than its factorization.

1211023123032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1211023123032 its reverse (2303213201121), we get a palindrome (3514236324153).

The spelling of 1211023123032 in words is "one trillion, two hundred eleven billion, twenty-three million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 523 967 1046 1569 1934 2092 2901 3138 3868 4184 5802 5869 6276 7736 8891 11604 11738 12552 16439 17607 17782 23208 23476 26673 32878 35214 35564 46952 49317 53346 65756 70428 71128 98634 99773 106692 131512 140856 197268 199546 213384 299319 394536 399092 505741 598638 798184 1011482 1197276 1517223 2022964 2394552 3034446 3069487 4045928 5675323 6068892 6138974 8597597 9208461 11350646 12137784 12277948 17025969 17195194 18416922 22701292 24555896 25792791 34051938 34390388 36833844 45402584 51585582 52181279 68103876 68780776 73667688 96480491 103171164 104362558 136207752 156543837 192960982 206342328 208725116 289441473 313087674 385921964 417450232 578882946 626175348 771843928 1157765892 1252350696 2315531784 2968193929 5936387858 8904581787 11872775716 17809163574 23745551432 35618327148 50459296793 71236654296 100918593586 151377890379 201837187172 302755780758 403674374344 605511561516 1211023123032