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3131302221102 = 23111973151226531
BaseRepresentation
bin101101100100010000001…
…010000001010100101110
3102002100102211120012121010
4231210100022001110232
5402300401332033402
610354300025450050
7442141405502316
oct55442012012456
912070384505533
103131302221102
11aa7a8351a8a0
12426a4a940926
13199385439663
14ab7ad300446
15566bba85a6c
hex2d91028152e

3131302221102 has 128 divisors (see below), whose sum is σ = 7338331975680. Its totient is φ = 880748640000.

The previous prime is 3131302221043. The next prime is 3131302221119. The reversal of 3131302221102 is 2011222031313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13709577 + ... + 13936107.

It is an arithmetic number, because the mean of its divisors is an integer number (57330718560).

Almost surely, 23131302221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131302221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669165987840).

3131302221102 is an abundant number, since it is smaller than the sum of its proper divisors (4207029754578).

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

3131302221102 is a wasteful number, since it uses less digits than its factorization.

3131302221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226790.

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

Adding to 3131302221102 its reverse (2011222031313), we get a palindrome (5142524252415).

The spelling of 3131302221102 in words is "three trillion, one hundred thirty-one billion, three hundred two million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 73 114 146 151 209 219 302 418 438 453 627 803 906 1254 1387 1606 1661 2409 2774 2869 3322 4161 4818 4983 5738 8322 8607 9966 11023 15257 17214 22046 30514 31559 33069 45771 63118 66138 91542 94677 121253 189354 209437 226531 242506 363759 418874 453062 628311 679593 727518 1256622 1359186 2303807 2491841 4304089 4607614 4983682 6911421 7475523 8608178 12912267 13822842 14951046 16536763 25824534 33073526 34206181 47344979 49610289 68412362 94689958 99220578 102618543 142034937 181904393 205237086 284069874 314198497 363808786 376267991 545713179 628396994 649917439 752535982 942595491 1091426358 1128803973 1299834878 1885190982 1949752317 2257607946 2497051213 3456183467 3899504634 4994102426 6912366934 7149091829 7491153639 10368550401 14298183658 14982307278 20737100802 21447275487 27467563343 42894550974 47443973047 54935126686 82402690029 94887946094 142331919141 164805380058 284663838282 521883703517 1043767407034 1565651110551 3131302221102