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10202201212000 = 25537252052047
BaseRepresentation
bin1001010001110110001010…
…0101000100010001100000
31100010022122221111002112011
42110131202211010101200
52314123102002241000
633410454310442304
72102041025316100
oct224354245042140
940108587432464
1010202201212000
113283802682396
121189308663394
135900a95118b5
14273b096c5200
1512a5b17732ba
hex94762944460

10202201212000 has 144 divisors (see below), whose sum is σ = 29159349081408. Its totient is φ = 3497897491200.

The previous prime is 10202201211959. The next prime is 10202201212057. The reversal of 10202201212000 is 21210220201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25830024 + ... + 26222023.

It is an arithmetic number, because the mean of its divisors is an integer number (202495479732).

Almost surely, 210202201212000 is an apocalyptic number.

10202201212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202201212000 is an abundant number, since it is smaller than the sum of its proper divisors (18957147869408).

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

10202201212000 is an equidigital number, since it uses as much as digits as its factorization.

10202201212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52052086 (or 52052061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202201212000 its reverse (21210220201), we get a palindrome (10223411432201).

The spelling of 10202201212000 in words is "ten trillion, two hundred two billion, two hundred one million, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 196000 52052047 104104094 208208188 260260235 364364329 416416376 520520470 728728658 832832752 1041040940 1301301175 1457457316 1665665504 1821821645 2082081880 2550550303 2602602350 2914914632 3643643290 4164163760 5101100606 5205204700 5829829264 6506505875 7287286580 8328327520 9109108225 10202201212 10410409400 11659658528 12752751515 13013011750 14574573160 18218216450 20404402424 20820818800 25505503030 26026023500 29149146320 36436432900 40808804848 41641637600 45545541125 51011006060 52052047000 58298292640 63763757575 72872865800 81617609696 91091082250 102022012120 104104094000 127527515150 145745731600 182182164500 204044024240 208208188000 255055030300 291491463200 318818787875 364364329000 408088048480 510110060600 637637575750 728728658000 1020220121200 1275275151500 1457457316000 2040440242400 2550550303000 5101100606000 10202201212000