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1021220111010 = 2351126950322871
BaseRepresentation
bin11101101110001010111…
…01100100001010100010
310121121221120210202101110
432313011131210022202
5113212424322023020
62101050403044150
7133531533501621
oct16670535441242
93547846722343
101021220111010
11364108147420
12145b04670656
13753ba689748
14375da7b56b8
151b86e6918e0
hexedc57642a2

1021220111010 has 128 divisors (see below), whose sum is σ = 2689132400640. Its totient is φ = 246147065600.

The previous prime is 1021220110987. The next prime is 1021220111027. The reversal of 1021220111010 is 101110221201.

1021220111010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44639875 + ... + 44662745.

It is an arithmetic number, because the mean of its divisors is an integer number (21008846880).

Almost surely, 21021220111010 is an apocalyptic number.

1021220111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021220111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344566200320).

1021220111010 is an abundant number, since it is smaller than the sum of its proper divisors (1667912289630).

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

1021220111010 is a wasteful number, since it uses less digits than its factorization.

1021220111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23664.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021220111010 its reverse (101110221201), we get a palindrome (1122330332211).

The spelling of 1021220111010 in words is "one trillion, twenty-one billion, two hundred twenty million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 269 330 503 538 807 1006 1345 1509 1614 2515 2690 2959 3018 4035 5030 5533 5918 7545 8070 8877 11066 14795 15090 16599 17754 22871 27665 29590 33198 44385 45742 55330 68613 82995 88770 114355 135307 137226 165990 228710 251581 270614 343065 405921 503162 676535 686130 754743 811842 1257905 1353070 1488377 1509486 2029605 2515810 2976754 3773715 4059210 4465131 6152299 7441885 7547430 8930262 11504113 12304598 14883770 18456897 22325655 23008226 30761495 34512339 36913794 44651310 57520565 61522990 67675289 69024678 92284485 115041130 126545243 135350578 172561695 184568970 203025867 253090486 338376445 345123390 379635729 406051734 632726215 676752890 759271458 1015129335 1265452430 1898178645 2030258670 3094606397 3796357290 6189212794 9283819191 15473031985 18567638382 30946063970 34040670367 46419095955 68081340734 92838191910 102122011101 170203351835 204244022202 340406703670 510610055505 1021220111010