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102221212020 = 22352923754751
BaseRepresentation
bin101111100110011011…
…0111110100101110100
3100202211222020121022120
41133030312332211310
53133322112241040
6114543151155540
710246064652204
oct1371466764564
9322758217276
10102221212020
113a396233614
1217989815bb0
139840a5a095
144d3a060404
1529d42467d0
hex17ccdbe974

102221212020 has 144 divisors (see below), whose sum is σ = 304446524928. Its totient is φ = 25607232000.

The previous prime is 102221212003. The next prime is 102221212031. The reversal of 102221212020 is 20212122201.

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

It is a congruent number.

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, 1839645 + ... + 1894395.

Almost surely, 2102221212020 is an apocalyptic number.

102221212020 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 102221212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152223262464).

102221212020 is an abundant number, since it is smaller than the sum of its proper divisors (202225312908).

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

102221212020 is a wasteful number, since it uses less digits than its factorization.

102221212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54858 (or 54827 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102221212020 its reverse (20212122201), we get a palindrome (122433334221).

It can be divided in two parts, 102 and 221212020, that added together give a palindrome (221212122).

The spelling of 102221212020 in words is "one hundred two billion, two hundred twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 74 87 111 116 145 148 174 185 222 290 348 370 435 444 555 580 740 841 870 1073 1110 1682 1740 2146 2220 2523 3219 3364 4205 4292 5046 5365 6438 8410 10092 10730 12615 12876 16095 16820 21460 25230 31117 32190 50460 54751 62234 64380 93351 109502 124468 155585 164253 186702 219004 273755 311170 328506 373404 466755 547510 622340 657012 821265 933510 1095020 1587779 1642530 1867020 2025787 3175558 3285060 4051574 4763337 6077361 6351116 7938895 8103148 9526674 10128935 12154722 15877790 19053348 20257870 23816685 24309444 30386805 31755580 40515740 46045591 47633370 58747823 60773610 92091182 95266740 117495646 121547220 138136773 176243469 184182364 230227955 234991292 276273546 293739115 352486938 460455910 552547092 587478230 690683865 704973876 881217345 920911820 1174956460 1381367730 1703686867 1762434690 2762735460 3407373734 3524869380 5111060601 6814747468 8518434335 10222121202 17036868670 20444242404 25555303005 34073737340 51110606010 102221212020