Search a number
-
+
31404205300 = 22521323794903
BaseRepresentation
bin11101001111110101…
…100010010011110100
310000001121112220220211
4131033311202103310
51003303434032200
622232113035204
72161140224566
oct351765422364
9100047486824
1031404205300
1112355945286
126105255b04
132c66286a00
14173cb33336
15c3c04eaba
hex74fd624f4

31404205300 has 108 divisors (see below), whose sum is σ = 74002242720. Its totient is φ = 11562445440.

The previous prime is 31404205297. The next prime is 31404205331. The reversal of 31404205300 is 350240413.

It is a super-2 number, since 2×314042053002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6402649 + ... + 6407551.

Almost surely, 231404205300 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 31404205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37001121360).

31404205300 is an abundant number, since it is smaller than the sum of its proper divisors (42598037420).

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

31404205300 is a wasteful number, since it uses less digits than its factorization.

31404205300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 31404205300 its reverse (350240413), we get a palindrome (31754445713).

The spelling of 31404205300 in words is "thirty-one billion, four hundred four million, two hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 379 650 676 758 845 1300 1516 1690 1895 3380 3790 4225 4903 4927 7580 8450 9475 9806 9854 16900 18950 19612 19708 24515 24635 37900 49030 49270 63739 64051 98060 98540 122575 123175 127478 128102 245150 246350 254956 256204 318695 320255 490300 492700 637390 640510 828607 1274780 1281020 1593475 1601275 1657214 1858237 3186950 3202550 3314428 3716474 4143035 6373900 6405100 7432948 8286070 9291185 16572140 18582370 20715175 24157081 37164740 41430350 46455925 48314162 82860700 92911850 96628324 120785405 185823700 241570810 314042053 483141620 603927025 628084106 1207854050 1256168212 1570210265 2415708100 3140420530 6280841060 7851051325 15702102650 31404205300