Search a number
-
+
31220316162 = 2347174734457
BaseRepresentation
bin11101000100111000…
…000011100000000010
32222120210112101110000
4131010320003200002
51002414400104122
622201543420430
72153445210630
oct350470034002
988523471400
1031220316162
1112271066692
126073754716
132c37150879
141722546350
15c2ad290ac
hex744e03802

31220316162 has 160 divisors (see below), whose sum is σ = 86457051648. Its totient is φ = 8216515584.

The previous prime is 31220316133. The next prime is 31220316181. The reversal of 31220316162 is 26161302213.

31220316162 is a `hidden beast` number, since 3 + 12 + 2 + 0 + 31 + 616 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 888838 + ... + 923294.

Almost surely, 231220316162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31220316162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43228525824).

31220316162 is an abundant number, since it is smaller than the sum of its proper divisors (55236735486).

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

31220316162 is a wasteful number, since it uses less digits than its factorization.

31220316162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34542 (or 34533 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 31220316162 its reverse (26161302213), we get a palindrome (57381618375).

The spelling of 31220316162 in words is "thirty-one billion, two hundred twenty million, three hundred sixteen thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 47 51 54 63 81 94 102 119 126 141 153 162 189 238 282 306 329 357 378 423 459 567 658 714 799 846 918 987 1071 1134 1269 1377 1598 1974 2142 2397 2538 2754 2961 3213 3807 4794 5593 5922 6426 7191 7614 8883 9639 11186 14382 16779 17766 19278 21573 26649 33558 34457 43146 50337 53298 64719 68914 100674 103371 129438 151011 206742 241199 302022 310113 453033 482398 585769 620226 723597 906066 930339 1171538 1447194 1619479 1757307 1860678 2170791 2791017 3238958 3514614 4100383 4341582 4858437 5271921 5582034 6512373 8200766 9716874 10543842 11336353 12301149 13024746 14575311 15815763 19537119 22672706 24602298 27531143 29150622 31631526 34009059 36903447 39074238 43725933 47447289 55062286 68018118 73806894 82593429 87451866 94894578 102027177 110710341 131177799 165186858 192718001 204054354 221420682 247780287 262355598 306081531 332131023 385436002 495560574 578154003 612163062 664262046 743340861 918244593 1156308006 1486681722 1734462009 1836489186 2230022583 3468924018 4460045166 5203386027 10406772054 15610158081 31220316162