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31330204434 = 23317376411439
BaseRepresentation
bin11101001011011011…
…001111101100010010
32222212110022021211000
4131023123033230102
51003131013020214
622220511002430
72156251225614
oct351333175422
988773267730
1031330204434
11123180a1341
1260a4509416
132c53b47109
141732d8cdb4
15c357d3809
hex74b6cfb12

31330204434 has 128 divisors (see below), whose sum is σ = 75881318400. Its totient is φ = 9541877760.

The previous prime is 31330204393. The next prime is 31330204439. The reversal of 31330204434 is 43440203313.

31330204434 is a `hidden beast` number, since 313 + 302 + 0 + 4 + 43 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31330204398 and 31330204407.

It is not an unprimeable number, because it can be changed into a prime (31330204439) 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, 21771487 + ... + 21772925.

It is an arithmetic number, because the mean of its divisors is an integer number (592822800).

Almost surely, 231330204434 is an apocalyptic number.

31330204434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31330204434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37940659200).

31330204434 is an abundant number, since it is smaller than the sum of its proper divisors (44551113966).

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

31330204434 is a wasteful number, since it uses less digits than its factorization.

31330204434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 31330204434 its reverse (43440203313), we get a palindrome (74770407747).

The spelling of 31330204434 in words is "thirty-one billion, three hundred thirty million, two hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 102 111 153 222 306 333 459 629 641 666 918 999 1258 1282 1439 1887 1923 1998 2878 3774 3846 4317 5661 5769 8634 10897 11322 11538 12951 16983 17307 21794 23717 24463 25902 32691 33966 34614 38853 47434 48926 53243 65382 71151 73389 77706 98073 106486 142302 146778 159729 196146 213453 220167 294219 319458 403189 426906 440334 479187 588438 640359 660501 806378 905131 922399 958374 1209567 1280718 1321002 1437561 1810262 1844798 2419134 2715393 2767197 2875122 3628701 5430786 5534394 7257402 8146179 8301591 10886103 15680783 16292358 16603182 21772206 24438537 24904773 31361566 34128763 47042349 48877074 49809546 68257526 94084698 102386289 141127047 204772578 282254094 307158867 423381141 580188971 614317734 846762282 921476601 1160377942 1740566913 1842953202 3481133826 5221700739 10443401478 15665102217 31330204434