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113033213020 = 22571328357559
BaseRepresentation
bin110100101000101001…
…1011111010001011100
3101210202110221011102001
41221101103133101130
53322443000304040
6123532102012044
711111032313050
oct1512123372134
9353673834361
10113033213020
1143a34335a32
1219aa6717024
13a874a3ca00
145683d93c60
152e1854c59a
hex1a514df45c

113033213020 has 144 divisors (see below), whose sum is σ = 297296939520. Its totient is φ = 35341532928.

The previous prime is 113033212997. The next prime is 113033213099. The reversal of 113033213020 is 20312330311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1935001 + ... + 1992559.

It is an arithmetic number, because the mean of its divisors is an integer number (2064562080).

Almost surely, 2113033213020 is an apocalyptic number.

113033213020 is a gapful number since it is divisible by the number (10) 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 113033213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148648469760).

113033213020 is an abundant number, since it is smaller than the sum of its proper divisors (184263726500).

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

113033213020 is a wasteful number, since it uses less digits than its factorization.

113033213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57684 (or 57669 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 113033213020 its reverse (20312330311), we get a palindrome (133345543331).

The spelling of 113033213020 in words is "one hundred thirteen billion, thirty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 83 91 130 140 166 169 182 260 332 338 364 415 455 581 676 830 845 910 1079 1162 1183 1660 1690 1820 2158 2324 2366 2905 3380 4316 4732 5395 5810 5915 7553 10790 11620 11830 14027 15106 21580 23660 28054 30212 37765 56108 57559 70135 75530 98189 115118 140270 151060 196378 230236 280540 287795 392756 402913 490945 575590 748267 805826 981890 1151180 1496534 1611652 1963780 2014565 2993068 3741335 4029130 4777397 5237869 7482670 8058260 9554794 9727471 10475738 14965340 19109588 19454942 20951476 23886985 26189345 33441779 38909884 47773970 48637355 52378690 62106161 66883558 68092297 95547940 97274710 104757380 124212322 133767116 136184594 167208895 194549420 248424644 272369188 310530805 334417790 340461485 434743127 621061610 668835580 680922970 807380093 869486254 1242123220 1361845940 1614760186 1738972508 2173715635 3229520372 4036900465 4347431270 5651660651 8073800930 8694862540 11303321302 16147601860 22606642604 28258303255 56516606510 113033213020