Search a number
-
+
3211012443100 = 22527111921948137
BaseRepresentation
bin101110101110011111010…
…000011000101111011100
3102100222011222102000220111
4232232133100120233130
5410102123141134400
610455041352255404
7450662611300150
oct56563720305734
912328158360814
103211012443100
1110288678a4420
1243a3956a1564
131a3a495122a7
14b15b17a7060
15587d48b43ba
hex2eb9f418bdc

3211012443100 has 144 divisors (see below), whose sum is σ = 9144472216320. Its totient is φ = 948159475200.

The previous prime is 3211012443073. The next prime is 3211012443103. The reversal of 3211012443100 is 13442101123.

It is a super-2 number, since 2×32110124431002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3211012443103) 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, 10827769 + ... + 11120368.

It is an arithmetic number, because the mean of its divisors is an integer number (63503279280).

Almost surely, 23211012443100 is an apocalyptic number.

It is an amenable number.

3211012443100 is an abundant number, since it is smaller than the sum of its proper divisors (5933459773220).

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

3211012443100 is a wasteful number, since it uses less digits than its factorization.

3211012443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21948188 (or 21948181 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 3211012443100 its reverse (13442101123), we get a palindrome (3224454544223).

The spelling of 3211012443100 in words is "three trillion, two hundred eleven billion, twelve million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 25 28 35 38 44 50 55 70 76 77 95 100 110 133 140 154 175 190 209 220 266 275 308 350 380 385 418 475 532 550 665 700 770 836 950 1045 1100 1330 1463 1540 1900 1925 2090 2660 2926 3325 3850 4180 5225 5852 6650 7315 7700 10450 13300 14630 20900 29260 36575 73150 146300 21948137 43896274 87792548 109740685 153636959 219481370 241429507 307273918 417014603 438962740 482859014 548703425 614547836 768184795 834029206 965718028 1097406850 1207147535 1536369590 1668058412 1690006549 2085073015 2194813700 2414295070 2919102221 3072739180 3380013098 3840923975 4170146030 4587160633 4828590140 5838204442 6035737675 6760026196 7681847950 8340292060 8450032745 9174321266 10425365075 11676408884 12071475350 14595511105 15363695900 16900065490 18348642532 20850730150 22935803165 24142950700 29191022210 32110124431 33800130980 41701460300 42250163725 45871606330 58382044420 64220248862 72977555525 84500327450 91743212660 114679015825 128440497724 145955111050 160550622155 169000654900 229358031650 291910222100 321101244310 458716063300 642202488620 802753110775 1605506221550 3211012443100