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10222010020000 = 25541015060401
BaseRepresentation
bin1001010010111111111101…
…0001101011000010100000
31100012012210110020210122201
42110233333101223002200
52314434134031120000
633423532050142544
72103341636361652
oct224577721530240
940165713223581
1010222010020000
113291148194a99
121191116581a54
13591c153c736c
14274a6843c6d2
1512ad7082496a
hex94bff46b0a0

10222010020000 has 120 divisors (see below), whose sum is σ = 25396669879812. Its totient is φ = 4048320000000.

The previous prime is 10222010019989. The next prime is 10222010020009. The reversal of 10222010020000 is 2001022201.

10222010020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 729227186704 + 9492782833296 = 853948^2 + 3081036^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10222010020009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 510201 + ... + 4550200.

Almost surely, 210222010020000 is an apocalyptic number.

10222010020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222010020000 is an abundant number, since it is smaller than the sum of its proper divisors (15174659859812).

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

10222010020000 is an equidigital number, since it uses as much as digits as its factorization.

10222010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060532 (or 5060509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10222010020000 its reverse (2001022201), we get a palindrome (10224011042201).

The spelling of 10222010020000 in words is "ten trillion, two hundred twenty-two billion, ten million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 8080 10000 10100 12625 16160 20000 20200 25250 40400 50500 63125 80800 101000 126250 202000 252500 404000 505000 1010000 2020000 5060401 10120802 20241604 25302005 40483208 50604010 80966416 101208020 126510025 161932832 202416040 253020050 404832080 506040100 511100501 632550125 809664160 1012080200 1022201002 1265100250 2024160400 2044402004 2530200500 2555502505 3162750625 4048320800 4088804008 5060401000 5111005010 6325501250 8177608016 10120802000 10222010020 12651002500 12777512525 16355216032 20241604000 20444020040 25302005000 25555025050 40888040080 50604010000 51110050100 63887562625 81776080160 101208020000 102220100200 127775125250 204440200400 255550250500 319437813125 408880400800 511100501000 638875626250 1022201002000 1277751252500 2044402004000 2555502505000 5111005010000 10222010020000