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211021000020 = 223258091449121
BaseRepresentation
bin1100010010000111010…
…1001110110101010100
3202011200102020111100100
43010201311032311110
511424132334000040
6240535224214100
721150203622255
oct3044165166524
9664612214310
10211021000020
1181547942686
1234a9260a330
1316b8c6ba16c
14a2dba9ab2c
155750cb0b30
hex3121d4ed54

211021000020 has 72 divisors (see below), whose sum is σ = 640888695720. Its totient is φ = 56202670080.

The previous prime is 211020999991. The next prime is 211021000079. The reversal of 211021000020 is 20000120112.

It can be written as a sum of positive squares in 4 ways, for example, as 50673611664 + 160347388356 = 225108^2 + 400434^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211020999966 and 211021000011.

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, 578941 + ... + 870180.

It is an arithmetic number, because the mean of its divisors is an integer number (8901231885).

Almost surely, 2211021000020 is an apocalyptic number.

211021000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021000020 is an abundant number, since it is smaller than the sum of its proper divisors (429867695700).

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

211021000020 is a wasteful number, since it uses less digits than its factorization.

211021000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449945 (or 1449940 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211021000020 its reverse (20000120112), we get a palindrome (231021120132).

The spelling of 211021000020 in words is "two hundred eleven billion, twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 809 1618 2427 3236 4045 4854 7281 8090 9708 12135 14562 16180 24270 29124 36405 48540 72810 145620 1449121 2898242 4347363 5796484 7245605 8694726 13042089 14491210 17389452 21736815 26084178 28982420 43473630 52168356 65210445 86947260 130420890 260841780 1172338889 2344677778 3517016667 4689355556 5861694445 7034033334 10551050001 11723388890 14068066668 17585083335 21102100002 23446777780 35170166670 42204200004 52755250005 70340333340 105510500010 211021000020