Search a number
-
+
31020130320 = 24351076471867
BaseRepresentation
bin11100111000111100…
…011010000000010000
32222001211211220002120
4130320330122000100
51002012123132240
622130033014240
72145464520504
oct347074320020
988054756076
1031020130320
1112179067043
1260186b4380
132c0482caca
141703b16304
15c18484ad0
hex738f1a010

31020130320 has 160 divisors (see below), whose sum is σ = 97263203328. Its totient is φ = 8177677824.

The previous prime is 31020130319. The next prime is 31020130321. The reversal of 31020130320 is 2303102013.

It is an interprime number because it is at equal distance from previous prime (31020130319) and next prime (31020130321).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31020130320.

It is not an unprimeable number, because it can be changed into a prime (31020130321) 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, 16614027 + ... + 16615893.

Almost surely, 231020130320 is an apocalyptic number.

31020130320 is a gapful number since it is divisible by the number (30) 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 31020130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48631601664).

31020130320 is an abundant number, since it is smaller than the sum of its proper divisors (66243073008).

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

31020130320 is a wasteful number, since it uses less digits than its factorization.

31020130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31020130320 its reverse (2303102013), we get a palindrome (33323232333).

The spelling of 31020130320 in words is "thirty-one billion, twenty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 647 856 1070 1284 1294 1605 1712 1867 1941 2140 2568 2588 3210 3235 3734 3882 4280 5136 5176 5601 6420 6470 7468 7764 8560 9335 9705 10352 11202 12840 12940 14936 15528 18670 19410 22404 25680 25880 28005 29872 31056 37340 38820 44808 51760 56010 69229 74680 77640 89616 112020 138458 149360 155280 199769 207687 224040 276916 346145 399538 415374 448080 553832 599307 692290 799076 830748 998845 1038435 1107664 1198614 1207949 1384580 1598152 1661496 1997690 2076870 2397228 2415898 2769160 2996535 3196304 3322992 3623847 3995380 4153740 4794456 4831796 5538320 5993070 6039745 7247694 7990760 8307480 9588912 9663592 11986140 12079490 14495388 15981520 16614960 18119235 19327184 23972280 24158980 28990776 36238470 47944560 48317960 57981552 72476940 96635920 129250543 144953880 258501086 289907760 387751629 517002172 646252715 775503258 1034004344 1292505430 1551006516 1938758145 2068008688 2585010860 3102013032 3877516290 5170021720 6204026064 7755032580 10340043440 15510065160 31020130320