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10200021210120 = 2335716374496211
BaseRepresentation
bin1001010001101110000010…
…1001000001010000001000
31100010010001000102112010210
42110123200221001100020
52314104120412210440
633405454113441120
72101633014520350
oct224334051012010
940103030375123
1010200021210120
113282894071745
1211889ba5701a0
1358cb1c992861
1427397dd71b60
1512a4d51a6a80
hex946e0a41408

10200021210120 has 128 divisors (see below), whose sum is σ = 35186050851840. Its totient is φ = 2317130115840.

The previous prime is 10200021210079. The next prime is 10200021210139. The reversal of 10200021210120 is 2101212000201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200021210096 and 10200021210105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37111186 + ... + 37385025.

It is an arithmetic number, because the mean of its divisors is an integer number (274891022280).

Almost surely, 210200021210120 is an apocalyptic number.

10200021210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200021210120 is an abundant number, since it is smaller than the sum of its proper divisors (24986029641720).

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

10200021210120 is a wasteful number, since it uses less digits than its factorization.

10200021210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74496395 (or 74496391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200021210120 its reverse (2101212000201), we get a palindrome (12301233210321).

The spelling of 10200021210120 in words is "ten trillion, two hundred billion, twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 163 168 210 280 326 420 489 652 815 840 978 1141 1304 1630 1956 2282 2445 3260 3423 3912 4564 4890 5705 6520 6846 9128 9780 11410 13692 17115 19560 22820 27384 34230 45640 68460 136920 74496211 148992422 223488633 297984844 372481055 446977266 521473477 595969688 744962110 893954532 1042946954 1117443165 1489924220 1564420431 1787909064 2085893908 2234886330 2607367385 2979848440 3128840862 4171787816 4469772660 5214734770 6257681724 7822102155 8939545320 10429469540 12142882393 12515363448 15644204310 20858939080 24285764786 31288408620 36428647179 48571529572 60714411965 62576817240 72857294358 85000176751 97143059144 121428823930 145714588716 170000353502 182143235895 242857647860 255000530253 291429177432 340000707004 364286471790 425000883755 485715295720 510001060506 680001414008 728572943580 850001767510 1020002121012 1275002651265 1457145887160 1700003535020 2040004242024 2550005302530 3400007070040 5100010605060 10200021210120