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13031211211000 = 2353472503110771
BaseRepresentation
bin1011110110100001000010…
…1101110001100011111000
31201010202211111220022210021
42331220100231301203320
53202000410032223000
643414242241100224
72513321363460553
oct275502055614370
951122744808707
1013031211211000
114174562007554
121565652327674
13736ab7c6b7c8
143309dd27b69a
15178e897b311a
hexbda10b718f8

13031211211000 has 128 divisors (see below), whose sum is σ = 31154545244160. Its totient is φ = 5099496336000.

The previous prime is 13031211210907. The next prime is 13031211211019. The reversal of 13031211211000 is 11211213031.

It is a happy number.

13031211211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117585615 + ... + 117696385.

It is an arithmetic number, because the mean of its divisors is an integer number (243394884720).

Almost surely, 213031211211000 is an apocalyptic number.

13031211211000 is a gapful number since it is divisible by the number (10) 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 13031211211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577272622080).

13031211211000 is an abundant number, since it is smaller than the sum of its proper divisors (18123334033160).

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

13031211211000 is a wasteful number, since it uses less digits than its factorization.

13031211211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113342 (or 113328 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13031211211000 its reverse (11211213031), we get a palindrome (13042422424031).

The spelling of 13031211211000 in words is "thirteen trillion, thirty-one billion, two hundred eleven million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 2503 4700 5006 5875 9400 10012 11750 12515 20024 23500 25030 47000 50060 62575 100120 110771 117641 125150 221542 235282 250300 312875 443084 470564 500600 553855 588205 625750 886168 941128 1107710 1176410 1251500 2215420 2352820 2503000 2769275 2941025 4430840 4705640 5206237 5538550 5882050 10412474 11077100 11764100 13846375 14705125 20824948 22154200 23528200 26031185 27692750 29410250 41649896 52062370 55385500 58820500 104124740 110771000 117641000 130155925 208249480 260311850 277259813 520623700 554519626 650779625 1041247400 1109039252 1301559250 1386299065 2218078504 2603118500 2772598130 5206237000 5545196260 6931495325 11090392520 13031211211 13862990650 26062422422 27725981300 34657476625 52124844844 55451962600 65156056055 69314953250 104249689688 130312112110 138629906500 260624224220 277259813000 325780280275 521248448440 651560560550 1303121121100 1628901401375 2606242242200 3257802802750 6515605605500 13031211211000