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301211331096 = 2331329193172489
BaseRepresentation
bin1000110001000011001…
…10000010101000011000
31001210110221021000121210
410120201212002220120
514413340100043341
6350212524103120
730522204033024
oct4304146025030
91053427230553
10301211331096
11106819a42285
124a463094aa0
1322533a8c780
1410815d81384
157c7dbd6c16
hex4621982a18

301211331096 has 128 divisors (see below), whose sum is σ = 843269112000. Its totient is φ = 89020366848.

The previous prime is 301211331079. The next prime is 301211331097. The reversal of 301211331096 is 690133112103.

It is a super-2 number, since 2×3012113310962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301211331097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1660020 + ... + 1832508.

Almost surely, 2301211331096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301211331096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421634556000).

301211331096 is an abundant number, since it is smaller than the sum of its proper divisors (542057780904).

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

301211331096 is a wasteful number, since it uses less digits than its factorization.

301211331096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172733 (or 172729 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

Adding to 301211331096 its reverse (690133112103), we get a palindrome (991344443199).

The spelling of 301211331096 in words is "three hundred one billion, two hundred eleven million, three hundred thirty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 193 232 312 348 377 386 579 696 754 772 1131 1158 1508 1544 2262 2316 2509 3016 4524 4632 5018 5597 7527 9048 10036 11194 15054 16791 20072 22388 30108 33582 44776 60216 67164 72761 134328 145522 172489 218283 291044 344978 436566 517467 582088 689956 873132 1034934 1379912 1746264 2069868 2242357 4139736 4484714 5002181 6727071 8969428 10004362 13454142 15006543 17938856 20008724 26908284 30013086 33290377 40017448 53816568 60026172 65028353 66580754 99871131 120052344 130056706 133161508 195085059 199742262 260113412 266323016 390170118 399484524 432774901 520226824 780340236 798969048 865549802 965420933 1298324703 1560680472 1731099604 1930841866 2596649406 2896262799 3462199208 3861683732 5193298812 5792525598 7723367464 10386597624 11585051196 12550472129 23170102392 25100944258 37651416387 50201888516 75302832774 100403777032 150605665548 301211331096