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1012000020 = 2235531572027
BaseRepresentation
bin111100010100011…
…110010100010100
32121112020221001020
4330110132110110
54033033000040
6244230401140
734035600243
oct7424362424
92545227036
101012000020
1147a27a659
12242b001b0
1313187c1a5
149859295a
155dca1cd0
hex3c51e514

1012000020 has 96 divisors (see below), whose sum is σ = 2906886528. Its totient is φ = 262958592.

The previous prime is 1012000013. The next prime is 1012000049. The reversal of 1012000020 is 200002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1011999972 and 1012000008.

It is a congruent number.

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, 498247 + ... + 500273.

It is an arithmetic number, because the mean of its divisors is an integer number (30280068).

Almost surely, 21012000020 is an apocalyptic number.

1012000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453443264).

1012000020 is an abundant number, since it is smaller than the sum of its proper divisors (1894886508).

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

1012000020 is a wasteful number, since it uses less digits than its factorization.

1012000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1012000020 is about 31811.9477555210. The cubic root of 1012000020 is about 1003.9841124346.

Adding to 1012000020 its reverse (200002101), we get a palindrome (1212002121).

The spelling of 1012000020 in words is "one billion, twelve million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 157 159 212 265 314 318 471 530 628 636 785 795 942 1060 1570 1590 1884 2027 2355 3140 3180 4054 4710 6081 8108 8321 9420 10135 12162 16642 20270 24324 24963 30405 33284 40540 41605 49926 60810 83210 99852 107431 121620 124815 166420 214862 249630 318239 322293 429724 499260 537155 636478 644586 954717 1074310 1272956 1289172 1591195 1611465 1909434 2148620 3182390 3222930 3818868 4773585 6364780 6445860 9547170 16866667 19094340 33733334 50600001 67466668 84333335 101200002 168666670 202400004 253000005 337333340 506000010 1012000020