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102012101211020 = 225711213463228141
BaseRepresentation
bin10111001100011110001011…
…000011100011001110001100
3111101012021001201201121000112
4113030132023003203032030
5101332331240402223040
61000543413510415152
730326062652222030
oct2714361303431614
9441167051647015
10102012101211020
112a5600a8757a00
12b5367663614b8
1344bc9137ba8c0
141b295aa9081c0
15bbd87ed61365
hex5cc78b0e338c

102012101211020 has 144 divisors (see below), whose sum is σ = 289810348935744. Its totient is φ = 29350134950400.

The previous prime is 102012101211011. The next prime is 102012101211037. The reversal of 102012101211020 is 20112101210201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102012101210986 and 102012101211004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231393851 + ... + 231834290.

Almost surely, 2102012101211020 is an apocalyptic number.

102012101211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012101211020 is an abundant number, since it is smaller than the sum of its proper divisors (187798247724724).

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

102012101211020 is a wasteful number, since it uses less digits than its factorization.

102012101211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463228192 (or 463228179 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102012101211020 its reverse (20112101210201), we get a palindrome (122124202421221).

The spelling of 102012101211020 in words is "one hundred two trillion, twelve billion, one hundred one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 110110 220220 463228141 926456282 1852912564 2316140705 3242596987 4632281410 5095509551 6021965833 6485193974 9264562820 10191019102 12043931666 12970387948 16212984935 20382038204 24087863332 25477547755 30109829165 32425969870 35668566857 42153760831 50955095510 56050605061 60219658330 64851939740 66241624163 71337133714 84307521662 101910191020 112101210122 120439316660 132483248326 142674267428 168615043324 178342834285 210768804155 224202420244 264966496652 280253025305 331208120815 356685668570 392354235427 421537608310 463691369141 560506050610 662416241630 713371337140 728657865793 784708470854 843075216620 927382738282 1121012101220 1324832483260 1457315731586 1569416941708 1854765476564 1961771177135 2318456845705 2914631463172 3643289328965 3923542354270 4636913691410 5100605060551 7286578657930 7847084708540 9273827382820 10201210121102 14573157315860 20402420242204 25503025302755 51006050605510 102012101211020