Search a number
-
+
31301434214232 = 23371378718211129
BaseRepresentation
bin1110001110111111011101…
…10111100000011101011000
311002211101110202202211202220
413013133232313200131120
513100320314124323412
6150323402543024040
76410311501603320
oct707375667403530
9132741422684686
1031301434214232
119a78955650666
123616516b9b020
131460935704360
147a2dd71d2280
1539434eaa168c
hex1c77eede0758

31301434214232 has 128 divisors (see below), whose sum is σ = 96434489356800. Its totient is φ = 8244833246208.

The previous prime is 31301434214207. The next prime is 31301434214249. The reversal of 31301434214232 is 23241243410313.

It is a junction number, because it is equal to n+sod(n) for n = 31301434214193 and 31301434214202.

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, 7386757 + ... + 10824372.

It is an arithmetic number, because the mean of its divisors is an integer number (753394448100).

Almost surely, 231301434214232 is an apocalyptic number.

It is an amenable number.

31301434214232 is an abundant number, since it is smaller than the sum of its proper divisors (65133055142568).

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

31301434214232 is a wasteful number, since it uses less digits than its factorization.

31301434214232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211945 (or 18211941 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 31301434214232 its reverse (23241243410313), we get a palindrome (54542677624545).

The spelling of 31301434214232 in words is "thirty-one trillion, three hundred one billion, four hundred thirty-four million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 787 1092 1574 2184 2361 3148 4722 5509 6296 9444 10231 11018 16527 18888 20462 22036 30693 33054 40924 44072 61386 66108 71617 81848 122772 132216 143234 214851 245544 286468 429702 572936 859404 1718808 18211129 36422258 54633387 72844516 109266774 127477903 145689032 218533548 236744677 254955806 382433709 437067096 473489354 509911612 710234031 764867418 946978708 1019823224 1420468062 1529734836 1657212739 1893957416 2840936124 3059469672 3314425478 4971638217 5681872248 6628850956 9943276434 13257701912 14332158523 19886552868 28664317046 39773105736 42996475569 57328634092 85992951138 100325109661 114657268184 171985902276 186318060799 200650219322 300975328983 343971804552 372636121598 401300438644 558954182397 601950657966 745272243196 802600877288 1117908364794 1203901315932 1304226425593 1490544486392 2235816729588 2407802631864 2608452851186 3912679276779 4471633459176 5216905702372 7825358553558 10433811404744 15650717107116 31301434214232