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10202210144430 = 2356152709105769
BaseRepresentation
bin1001010001110110001100…
…0111001001000010101110
31100010022200120021220111220
42110131203013021002232
52314123111244110210
633410455230124210
72102041164251133
oct224354307110256
940108616256456
1010202210144430
113283807723467
12118930b650666
135900ab31b565
14273b0a96c58a
1512a5b2439c70
hex947631c90ae

10202210144430 has 64 divisors (see below), whose sum is σ = 24887410228800. Its totient is φ = 2675913477120.

The previous prime is 10202210144389. The next prime is 10202210144437. The reversal of 10202210144430 is 3444101220201.

It is a super-2 number, since 2×102022101444302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10202210144430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202210144437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96404586 + ... + 96510354.

It is an arithmetic number, because the mean of its divisors is an integer number (388865784825).

Almost surely, 210202210144430 is an apocalyptic number.

10202210144430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202210144430 is an abundant number, since it is smaller than the sum of its proper divisors (14685200084370).

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

10202210144430 is a wasteful number, since it uses less digits than its factorization.

10202210144430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158549.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10202210144430 its reverse (3444101220201), we get a palindrome (13646311364631).

The spelling of 10202210144430 in words is "ten trillion, two hundred two billion, two hundred ten million, one hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 52709 105418 105769 158127 211538 263545 316254 317307 527090 528845 634614 790635 1057690 1581270 1586535 3173070 3215249 6430498 6451909 9645747 12903818 16076245 19291494 19355727 32152490 32259545 38711454 48228735 64519090 96457470 96778635 193557270 5574978221 11149956442 16724934663 27874891105 33449869326 55749782210 83624673315 167249346630 340073671481 680147342962 1020221014443 1700368357405 2040442028886 3400736714810 5101105072215 10202210144430