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31348874370 = 235114314914827
BaseRepresentation
bin11101001100100010…
…011101110010000010
32222220202102211011010
4131030202131302002
51003200302434440
622222415101350
72156566015122
oct351442356202
988822384133
1031348874370
1112327693340
1260aa811856
132c57983008
14173564cc82
15c37270580
hex74c89dc82

31348874370 has 128 divisors (see below), whose sum is σ = 84555187200. Its totient is φ = 7372673280.

The previous prime is 31348874357. The next prime is 31348874377. The reversal of 31348874370 is 7347884313.

It is not an unprimeable number, because it can be changed into a prime (31348874377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2106897 + ... + 2121723.

It is an arithmetic number, because the mean of its divisors is an integer number (660587400).

Almost surely, 231348874370 is an apocalyptic number.

31348874370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31348874370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42277593600).

31348874370 is an abundant number, since it is smaller than the sum of its proper divisors (53206312830).

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

31348874370 is a wasteful number, since it uses less digits than its factorization.

31348874370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15040.

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 31348874370 in words is "thirty-one billion, three hundred forty-eight million, eight hundred seventy-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 149 165 215 258 298 330 430 447 473 645 745 894 946 1290 1419 1490 1639 2235 2365 2838 3278 4470 4730 4917 6407 7095 8195 9834 12814 14190 14827 16390 19221 24585 29654 32035 38442 44481 49170 64070 70477 74135 88962 96105 140954 148270 163097 192210 211431 222405 326194 352385 422862 444810 489291 637561 704770 815485 978582 1057155 1275122 1630970 1912683 2114310 2209223 2446455 3187805 3825366 4418446 4892910 6375610 6627669 7013171 9563415 11046115 13255338 14026342 19126830 21039513 22092230 24301453 33138345 35065855 42079026 48602906 66276690 70131710 72904359 94996589 105197565 121507265 145808718 189993178 210395130 243014530 284989767 364521795 474982945 569979534 729043590 949965890 1044962479 1424948835 2089924958 2849897670 3134887437 5224812395 6269774874 10449624790 15674437185 31348874370