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10342020402210 = 23571032609183263
BaseRepresentation
bin1001011001111111000001…
…1100111100110000100010
31100121200120011221212212110
42112133300130330300202
52323420424210332320
633555020353140150
72115120622655130
oct226376034746042
940550504855773
1010342020402210
1133280319a0452
1211b042985a656
135a032c7a8243
1427a7b0cc8750
1512e04667b5e0
hex967f073cc22

10342020402210 has 128 divisors (see below), whose sum is σ = 28653223772160. Its totient is φ = 2340029961216.

The previous prime is 10342020402193. The next prime is 10342020402229. The reversal of 10342020402210 is 1220402024301.

10342020402210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56341039 + ... + 56524301.

It is an arithmetic number, because the mean of its divisors is an integer number (223853310720).

Almost surely, 210342020402210 is an apocalyptic number.

10342020402210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342020402210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14326611886080).

10342020402210 is an abundant number, since it is smaller than the sum of its proper divisors (18311203369950).

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

10342020402210 is a wasteful number, since it uses less digits than its factorization.

10342020402210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185992.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10342020402210 its reverse (1220402024301), we get a palindrome (11562422426511).

The spelling of 10342020402210 in words is "ten trillion, three hundred forty-two billion, twenty million, four hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1442 1545 2163 2609 3090 3605 4326 5218 7210 7827 10815 13045 15654 18263 21630 26090 36526 39135 54789 78270 91315 109578 182630 183263 268727 273945 366526 537454 547890 549789 806181 916315 1099578 1282841 1343635 1612362 1832630 1881089 2565682 2687270 2748945 3762178 3848523 4030905 5497890 5643267 6414205 7697046 8061810 9405445 11286534 12828410 18810890 18876089 19242615 28216335 37752178 38485230 56432670 56628267 94380445 113256534 132132623 188760890 264265246 283141335 396397869 478133167 566282670 660663115 792795738 956266334 1321326230 1434399501 1981989345 2390665835 2868799002 3346932169 3963978690 4781331670 6693864338 7171997505 10040796507 14343995010 16734660845 20081593014 33469321690 49247716201 50203982535 98495432402 100407965070 147743148603 246238581005 295486297206 344734013407 492477162010 689468026814 738715743015 1034202040221 1477431486030 1723670067035 2068404080442 3447340134070 5171010201105 10342020402210