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10120100011020 = 22325571480120509
BaseRepresentation
bin1001001101000100010011…
…1101110101110000001100
31022211110202011120221122200
42103101010331311300030
52311301431100323040
633305035413041500
72063103340526106
oct223210475656014
938743664527580
1010120100011020
113251a0169797a
121175415026290
13585423c8b3bc
1426db5b86a576
151283a8aa1630
hex93444f75c0c

10120100011020 has 144 divisors (see below), whose sum is σ = 30759302814240. Its totient is φ = 2693274624000.

The previous prime is 10120100011019. The next prime is 10120100011027. The reversal of 10120100011020 is 2011000102101.

It is a happy number.

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 = 10120100010993 and 10120100011011.

It is not an unprimeable number, because it can be changed into a prime (10120100011027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493436526 + ... + 493457034.

Almost surely, 210120100011020 is an apocalyptic number.

10120100011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120100011020 is an abundant number, since it is smaller than the sum of its proper divisors (20639202803220).

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

10120100011020 is a wasteful number, since it uses less digits than its factorization.

10120100011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25896 (or 25891 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120100011020 its reverse (2011000102101), we get a palindrome (12131100113121).

The spelling of 10120100011020 in words is "ten trillion, one hundred twenty billion, one hundred million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 571 1142 1713 2284 2855 3426 4801 5139 5710 6852 8565 9602 10278 11420 14403 17130 19204 20509 20556 24005 25695 28806 34260 41018 43209 48010 51390 57612 61527 72015 82036 86418 96020 102545 102780 123054 144030 172836 184581 205090 216045 246108 288060 307635 369162 410180 432090 615270 738324 864180 922905 1230540 1845810 2741371 3691620 5482742 8224113 10965484 11710639 13706855 16448226 23421278 24672339 27413710 32896452 35131917 41120565 46842556 49344678 54827420 58553195 70263834 82241130 98463709 98689356 105395751 117106390 123361695 140527668 164482260 175659585 196927418 210791502 234212780 246723390 295391127 351319170 393854836 421583004 492318545 493446780 526978755 590782254 702638340 886173381 984637090 1053957510 1181564508 1476955635 1772346762 1969274180 2107915020 2953911270 3544693524 4430866905 5907822540 8861733810 17723467620 56222777839 112445555678 168668333517 224891111356 281113889195 337336667034 506005000551 562227778390 674673334068 843341667585 1012010001102 1124455556780 1686683335170 2024020002204 2530025002755 3373366670340 5060050005510 10120100011020