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11211012211020 = 2235417362429069
BaseRepresentation
bin1010001100100100010001…
…1001101000000101001100
31110200202120201100122102020
42203021010121220011030
52432140123111223040
635502133511330140
72234653222321656
oct243110431500514
943622521318366
1011211012211020
113632622139256
121310929380950
1363426a05490b
142aa889dc56d6
151469567d0cd0
hexa324466814c

11211012211020 has 96 divisors (see below), whose sum is σ = 32596964326080. Its totient is φ = 2876731453440.

The previous prime is 11211012211019. The next prime is 11211012211039. The reversal of 11211012211020 is 2011221011211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31034955 + ... + 31394114.

It is an arithmetic number, because the mean of its divisors is an integer number (339551711730).

Almost surely, 211211012211020 is an apocalyptic number.

11211012211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211012211020 is an abundant number, since it is smaller than the sum of its proper divisors (21385952115060).

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

11211012211020 is a wasteful number, since it uses less digits than its factorization.

11211012211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62429195 (or 62429193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11211012211020 its reverse (2011221011211), we get a palindrome (13222233222231).

It can be divided in two parts, 112110 and 12211020, that added together give a triangular number (12323130 = T4964).

The spelling of 11211012211020 in words is "eleven trillion, two hundred eleven billion, twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 73 82 123 146 164 205 219 246 292 365 410 438 492 615 730 820 876 1095 1230 1460 2190 2460 2993 4380 5986 8979 11972 14965 17958 29930 35916 44895 59860 89790 179580 62429069 124858138 187287207 249716276 312145345 374574414 624290690 749148828 936436035 1248581380 1872872070 2559591829 3745744140 4557322037 5119183658 7678775487 9114644074 10238367316 12797959145 13671966111 15357550974 18229288148 22786610185 25595918290 27343932222 30715101948 38393877435 45573220370 51191836580 54687864444 68359830555 76787754870 91146440740 136719661110 153575509740 186850203517 273439322220 373700407034 560550610551 747400814068 934251017585 1121101221102 1868502035170 2242202442204 2802753052755 3737004070340 5605506105510 11211012211020