Search a number
-
+
1013210233332 = 2231122967359137
BaseRepresentation
bin11101011111010000000…
…10010011100111110100
310120212021100210210212020
432233220002103213310
5113100023304431312
62053243511353140
7133126202611563
oct16575002234764
93525240723766
101013210233332
11360777842800
1214444a0827b0
137471209865b
143707aa99bda
151b55139478c
hexebe80939f4

1013210233332 has 144 divisors (see below), whose sum is σ = 2728357020480. Its totient is φ = 292020664320.

The previous prime is 1013210233307. The next prime is 1013210233349. The reversal of 1013210233332 is 2333320123101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2641668 + ... + 3000804.

Almost surely, 21013210233332 is an apocalyptic number.

1013210233332 is a gapful number since it is divisible by the number (12) 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 1013210233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364178510240).

1013210233332 is an abundant number, since it is smaller than the sum of its proper divisors (1715146787148).

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

1013210233332 is a wasteful number, since it uses less digits than its factorization.

1013210233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359262 (or 359249 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1013210233332 its reverse (2333320123101), we get a palindrome (3346530356433).

The spelling of 1013210233332 in words is "one trillion, thirteen billion, two hundred ten million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 67 87 116 121 132 134 174 201 242 268 319 348 363 402 484 638 726 737 804 957 1276 1452 1474 1914 1943 2211 2948 3509 3828 3886 4422 5829 7018 7772 8107 8844 10527 11658 14036 16214 21054 21373 23316 24321 32428 42108 42746 48642 64119 85492 97284 128238 235103 256476 359137 470206 705309 718274 940412 1077411 1410618 1436548 2154822 2821236 3950507 4309644 7901014 10414973 11851521 15802028 20829946 23703042 24062179 31244919 41659892 43455577 47406084 48124358 62489838 72186537 86911154 96248716 114564703 124979676 130366731 144373074 173822308 229129406 260733462 264683969 288746148 343694109 458258812 521466924 529367938 687388218 697803191 794051907 1058735876 1260211733 1374776436 1395606382 1588103814 2093409573 2520423466 2791212764 2911523659 3176207628 3780635199 4186819146 5040846932 5823047318 7561270398 7675835101 8373638292 8734570977 11646094636 15122540796 15351670202 17469141954 23027505303 30703340404 34938283908 46055010606 84434186111 92110021212 168868372222 253302558333 337736744444 506605116666 1013210233332