Search a number
-
+
3113697804525 = 3252711223780341
BaseRepresentation
bin101101010011110110110…
…110100000000011101101
3102000122222221202012000100
4231103312312200003231
5402003323114221100
610342225114021313
7440646222435540
oct55236666400355
912018887665010
103113697804525
11aa056a267090
12423557117839
1319780b162309
14aa9bd248857
1555edb2bc400
hex2d4f6da00ed

3113697804525 has 144 divisors (see below), whose sum is σ = 6956311160448. Its totient is φ = 1293409728000.

The previous prime is 3113697804493. The next prime is 3113697804551. The reversal of 3113697804525 is 5254087963113.

It is a happy number.

3113697804525 is a `hidden beast` number, since 3 + 1 + 1 + 36 + 9 + 7 + 80 + 4 + 525 = 666.

It is not a de Polignac number, because 3113697804525 - 25 = 3113697804493 is a prime.

It is a super-2 number, since 2×31136978045252 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38715855 + ... + 38796195.

It is an arithmetic number, because the mean of its divisors is an integer number (48307716392).

It is a 1-persistent number, because it is pandigital, but 2⋅3113697804525 = 6227395609050 is not.

Almost surely, 23113697804525 is an apocalyptic number.

3113697804525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3113697804525 is an abundant number, since it is smaller than the sum of its proper divisors (3842613355923).

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

3113697804525 is a wasteful number, since it uses less digits than its factorization.

3113697804525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82612 (or 82604 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3113697804525 in words is "three trillion, one hundred thirteen billion, six hundred ninety-seven million, eight hundred four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2237 2475 3465 5775 6711 11185 15659 17325 20133 24607 33555 46977 55925 73821 78295 80341 100665 123035 140931 167775 172249 221463 234885 241023 369105 391475 401705 503325 516747 562387 615175 704655 723069 861245 883751 1107315 1174425 1205115 1550241 1687161 1845525 2008525 2583735 2651253 2811935 3523275 3615345 4306225 4418755 5061483 5536575 6025575 6186257 7751205 7953759 8435805 12918675 13256265 14059675 18076725 18558771 22093775 25307415 30931285 38756025 39768795 42179025 55676313 66281325 92793855 126537075 154656425 179722817 198843975 278381565 463969275 539168451 898614085 1258059719 1391907825 1617505353 1976950987 2695842255 3774179157 4493070425 5930852961 6290298595 8087526765 9884754935 11322537471 13479211275 13838656909 17792558883 18870895785 29654264805 31451492975 40437633825 41515970727 49423774675 56612687355 69193284545 88962794415 94354478925 124547912181 148271324025 207579853635 283063436775 345966422725 444813972075 622739560905 1037899268175 3113697804525