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31202033104 = 24111729379719
BaseRepresentation
bin11101000011110010…
…010011110111010000
32222112112010111210201
4131003302103313100
51002400210024404
622200051504544
72153133622354
oct350362236720
988475114721
1031202033104
1112261809320
1260695b8154
132c3341baa8
14171dd47464
15c29416ca4
hex743c93dd0

31202033104 has 160 divisors (see below), whose sum is σ = 74197036800. Its totient is φ = 12538552320.

The previous prime is 31202033101. The next prime is 31202033119. The reversal of 31202033104 is 40133020213.

It is a super-2 number, since 2×312020331042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202033101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3205557 + ... + 3215275.

It is an arithmetic number, because the mean of its divisors is an integer number (463731480).

Almost surely, 231202033104 is an apocalyptic number.

31202033104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31202033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37098518400).

31202033104 is an abundant number, since it is smaller than the sum of its proper divisors (42995003696).

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

31202033104 is a wasteful number, since it uses less digits than its factorization.

31202033104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9821 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 31202033104 its reverse (40133020213), we get a palindrome (71335053317).

The spelling of 31202033104 in words is "thirty-one billion, two hundred two million, thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 29 34 37 44 58 68 74 88 116 136 148 176 187 232 272 296 319 374 407 464 493 592 629 638 748 814 986 1073 1258 1276 1496 1628 1972 2146 2516 2552 2992 3256 3944 4292 5032 5104 5423 6512 6919 7888 8584 9719 10064 10846 11803 13838 17168 18241 19438 21692 23606 27676 36482 38876 43384 47212 55352 72964 77752 86768 94424 106909 110704 145928 155504 165223 188848 200651 213818 281851 291856 330446 359603 401302 427636 563702 660892 719206 802604 855272 1127404 1321784 1438412 1605208 1710544 1817453 2254808 2643568 2876824 3100361 3210416 3634906 3955633 4509616 4791467 5753648 6113251 6200722 7269812 7911266 9582934 10428487 12226502 12401444 14539624 15822532 19165868 20856974 24453004 24802888 29079248 31645064 38331736 41713948 48906008 49605776 52706137 63290128 67245761 76663472 83427896 97812016 105412274 114713357 134491522 166855792 177284279 210824548 229426714 268983044 354568558 421649096 458853428 537966088 709137116 843298192 917706856 1075932176 1418274232 1835413712 1950127069 2836548464 3900254138 7800508276 15601016552 31202033104