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101101020020 = 225711213459091
BaseRepresentation
bin101111000101000010…
…1110010001101110100
3100122221220101221202222
41132022011302031310
53124023330120040
6114240053421512
710206243330260
oct1361205621564
9318856357688
10101101020020
1139970987800
121771663a898
1396c2959790
144c713870a0
15296ac22bb5
hex178a172374

101101020020 has 144 divisors (see below), whose sum is σ = 287222646144. Its totient is φ = 29087942400.

The previous prime is 101101020019. The next prime is 101101020047. The reversal of 101101020020 is 20020101101.

It is a congruent number.

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, 9326 + ... + 449765.

Almost surely, 2101101020020 is an apocalyptic number.

101101020020 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 101101020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143611323072).

101101020020 is an abundant number, since it is smaller than the sum of its proper divisors (186121626124).

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

101101020020 is a wasteful number, since it uses less digits than its factorization.

101101020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459142 (or 459129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101101020020 its reverse (20020101101), we get a palindrome (121121121121).

The spelling of 101101020020 in words is "one hundred one billion, one hundred one million, twenty 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 459091 918182 1836364 2295455 3213637 4590910 5050001 5968183 6427274 9181820 10100002 11936366 12854548 16068185 20200004 23872732 25250005 29840915 32136370 35350007 41777281 50500010 55550011 59681830 64272740 65650013 70700014 83554562 101000020 111100022 119363660 131300026 141400028 167109124 176750035 208886405 222200044 262600052 277750055 328250065 353500070 388850077 417772810 459550091 555500110 656500130 707000140 722150143 777700154 835545620 919100182 1111000220 1313000260 1444300286 1555400308 1838200364 1944250385 2297750455 2888600572 3610750715 3888500770 4595500910 5055051001 7221501430 7777001540 9191001820 10110102002 14443002860 20220204004 25275255005 50550510010 101101020020