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120020001020010 = 232571314654456779
BaseRepresentation
bin11011010010100001010101…
…100001101101100001101010
3120201221210121020020010101100
4123102201111201231201222
5111212401430230120020
61103132232144102230
734165105340066640
oct3322412541554152
9521853536203340
10120020001020010
113527321872a613
121156481b604976
1351c7ab70a0960
14218cddb53d190
15dd1ee0523a90
hex6d285586d86a

120020001020010 has 96 divisors (see below), whose sum is σ = 384064003290240. Its totient is φ = 25322901312384.

The previous prime is 120020001019969. The next prime is 120020001020053. The reversal of 120020001020010 is 10020100020021.

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 = 120020001019974 and 120020001020001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7327220200 + ... + 7327236579.

It is an arithmetic number, because the mean of its divisors is an integer number (4000666700940).

Almost surely, 2120020001020010 is an apocalyptic number.

120020001020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120020001020010 is an abundant number, since it is smaller than the sum of its proper divisors (264044002270230).

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

120020001020010 is a wasteful number, since it uses less digits than its factorization.

120020001020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14654456812 (or 14654456809 counting only the distinct ones).

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

Adding to 120020001020010 its reverse (10020100020021), we get a palindrome (130040101040031).

The spelling of 120020001020010 in words is "one hundred twenty trillion, twenty billion, one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 14654456779 29308913558 43963370337 73272283895 87926740674 102581197453 131890111011 146544567790 190507938127 205162394906 219816851685 263780222022 307743592359 381015876254 439633703370 512905987265 571523814381 615487184718 659450555055 923230777077 952539690635 1025811974530 1143047628762 1318901110110 1333555566889 1538717961795 1714571443143 1846461554154 1905079381270 2667111133778 2857619071905 3077435923590 3429142886286 4000666700667 4616153885385 5715238143810 6667777834445 8001333401334 8572857215715 9232307770770 12002000102001 13335555668890 17145714431430 20003333503335 24004000204002 40006667006670 60010000510005 120020001020010