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31423201000 = 2353671732711
BaseRepresentation
bin11101010000111101…
…111111111011101000
310000002221022000010021
4131100331333323220
51003323314413000
622234032130224
72161460541622
oct352075777350
9100087260107
1031423201000
111236563a004
12610b696974
132c6a1a7c79
141741479c12
15c3da5311a
hex750f7fee8

31423201000 has 128 divisors (see below), whose sum is σ = 75086818560. Its totient is φ = 12305568000.

The previous prime is 31423200997. The next prime is 31423201001. The reversal of 31423201000 is 10232413.

It is a happy number.

It is a super-2 number, since 2×314232010002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31423201001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11589645 + ... + 11592355.

It is an arithmetic number, because the mean of its divisors is an integer number (586615770).

Almost surely, 231423201000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31423201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37543409280).

31423201000 is an abundant number, since it is smaller than the sum of its proper divisors (43663617560).

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

31423201000 is a wasteful number, since it uses less digits than its factorization.

31423201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31423201000 its reverse (10232413), we get a palindrome (31433433413).

The spelling of 31423201000 in words is "thirty-one billion, four hundred twenty-three million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 173 200 250 268 335 346 500 536 670 692 865 1000 1340 1384 1675 1730 2680 2711 3350 3460 4325 5422 6700 6920 8375 8650 10844 11591 13400 13555 16750 17300 21625 21688 23182 27110 33500 34600 43250 46364 54220 57955 67000 67775 86500 92728 108440 115910 135550 173000 181637 231820 271100 289775 338875 363274 463640 469003 542200 579550 677750 726548 908185 938006 1159100 1355500 1448875 1453096 1816370 1876012 2318200 2345015 2711000 2897750 3632740 3752024 4540925 4690030 5795500 7265480 9081850 9380060 11591000 11725075 18163700 18760120 22704625 23450150 31423201 36327400 45409250 46900300 58625375 62846402 90818500 93800600 117250750 125692804 157116005 181637000 234501500 251385608 314232010 469003000 628464020 785580025 1256928040 1571160050 3142320100 3927900125 6284640200 7855800250 15711600500 31423201000