Search a number
-
+
10002020023310 = 25719109479144037
BaseRepresentation
bin1001000110001100011011…
…0110011011110000001110
31022102011221222021001212112
42101203012312123300032
52302333114111221220
633134510425104022
72051423244303140
oct221430666336016
938364858231775
1010002020023310
113206918607477
121156560328012
135772567c37a3
1426815951ac90
1512529745d5c5
hex918c6d9bc0e

10002020023310 has 128 divisors (see below), whose sum is σ = 21902994432000. Its totient is φ = 3212228648448.

The previous prime is 10002020023309. The next prime is 10002020023319. The reversal of 10002020023310 is 1332002020001.

It is a happy number.

It is a super-2 number, since 2×100020200233102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002020023319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69368612 + ... + 69512648.

It is an arithmetic number, because the mean of its divisors is an integer number (171117144000).

Almost surely, 210002020023310 is an apocalyptic number.

10002020023310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002020023310 is an abundant number, since it is smaller than the sum of its proper divisors (11900974408690).

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

10002020023310 is a wasteful number, since it uses less digits than its factorization.

10002020023310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144658.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10002020023310 its reverse (1332002020001), we get a palindrome (11334022043311).

The spelling of 10002020023310 in words is "ten trillion, two billion, twenty million, twenty-three thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 109 133 190 218 266 479 545 665 763 958 1090 1330 1526 2071 2395 3353 3815 4142 4790 6706 7630 9101 10355 14497 16765 18202 20710 28994 33530 45505 52211 63707 72485 91010 104422 127414 144037 144970 261055 288074 318535 365477 522110 637070 720185 730954 992009 1008259 1440370 1827385 1984018 2016518 2736703 3654770 4960045 5041295 5473406 6944063 9920090 10082590 13683515 13888126 15700033 19156921 27367030 31400066 34720315 38313842 68993723 69440630 78500165 95784605 109900231 137987446 157000330 191569210 219800462 298300627 344968615 482956061 549501155 596601254 689937230 965912122 1099002310 1310880737 1491503135 2088104389 2414780305 2621761474 2983006270 4176208778 4829560610 6554403685 7520315807 9176165159 10440521945 13108807370 15040631614 18352330318 20881043890 37601579035 45880825795 52642210649 75203158070 91761651590 105284421298 142886000333 263211053245 285772000666 526422106490 714430001665 1000202002331 1428860003330 2000404004662 5001010011655 10002020023310