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20121001011020 = 22571324120742017
BaseRepresentation
bin1001001001100110010010…
…00111100010011101001100
32122020112211011012202010102
410210303021013202131030
510114130302224323040
6110443243225430232
74144460106445520
oct444631107423514
978215734182112
1020121001011020
1164582a5576598
12230b70263b378
13b2c52c9a0500
144d7c0c4d5d80
1524d5d7b6c515
hex124cc91e274c

20121001011020 has 144 divisors (see below), whose sum is σ = 53566178516928. Its totient is φ = 6212648632320.

The previous prime is 20121001010989. The next prime is 20121001011043. The reversal of 20121001011020 is 2011010012102.

It is a super-2 number, since 2×201210010110202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20121001010992 and 20121001011010.

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, 9400949 + ... + 11341068.

It is an arithmetic number, because the mean of its divisors is an integer number (371987350812).

Almost surely, 220121001011020 is an apocalyptic number.

20121001011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121001011020 is an abundant number, since it is smaller than the sum of its proper divisors (33445177505908).

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

20121001011020 is a wasteful number, since it uses less digits than its factorization.

20121001011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20742100 (or 20742085 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20121001011020 its reverse (2011010012102), we get a palindrome (22132011023122).

The spelling of 20121001011020 in words is "twenty trillion, one hundred twenty-one billion, one million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 41 52 65 70 82 91 130 140 164 169 182 205 260 287 338 364 410 455 533 574 676 820 845 910 1066 1148 1183 1435 1690 1820 2132 2366 2665 2870 3380 3731 4732 5330 5740 5915 6929 7462 10660 11830 13858 14924 18655 23660 27716 34645 37310 48503 69290 74620 97006 138580 194012 242515 485030 970060 20742017 41484034 82968068 103710085 145194119 207420170 269646221 290388238 414840340 539292442 580776476 725970595 850422697 1078584884 1348231105 1451941190 1700845394 1887523547 2696462210 2903882380 3401690788 3505400873 3775047094 4252113485 5392924420 5952958879 7010801746 7550094188 8504226970 9437617735 11055495061 11905917758 14021603492 17008453940 17527004365 18875235470 22110990122 23811835516 24537806111 29764794395 35054008730 37750470940 44221980244 49075612222 55277475305 59529588790 70108017460 77388465427 98151224444 110554950610 119059177580 122689030555 143721435793 154776930854 221109901220 245378061110 287442871586 309553861708 386942327135 490756122220 574885743172 718607178965 773884654270 1006050050551 1437214357930 1547769308540 2012100101102 2874428715860 4024200202204 5030250252755 10060500505510 20121001011020