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2120220011020 = 2252373227278147
BaseRepresentation
bin11110110110100110111…
…101011110101000001100
321111200122210000011211211
4132312212331132220030
5234214202310323040
64302003213024204
7306116012511016
oct36664675365014
97450583004754
102120220011020
117481a8a164a1
122a2ab5485064
13124c221c1177
14748951071b6
153a2424418ea
hex1eda6f5ea0c

2120220011020 has 96 divisors (see below), whose sum is σ = 4730456360448. Its totient is φ = 796574541312.

The previous prime is 2120220010939. The next prime is 2120220011051. The reversal of 2120220011020 is 201100220212.

It is a happy number.

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, 7483587 + ... + 7761733.

It is an arithmetic number, because the mean of its divisors is an integer number (49275587088).

Almost surely, 22120220011020 is an apocalyptic number.

2120220011020 is a gapful number since it is divisible by the number (20) 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 2120220011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365228180224).

2120220011020 is an abundant number, since it is smaller than the sum of its proper divisors (2610236349428).

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

2120220011020 is a wasteful number, since it uses less digits than its factorization.

2120220011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278479 (or 278477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2120220011020 its reverse (201100220212), we get a palindrome (2321320231232).

The spelling of 2120220011020 in words is "two trillion, one hundred twenty billion, two hundred twenty million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 227 230 292 365 454 460 730 908 1135 1460 1679 2270 3358 4540 5221 6716 8395 10442 16571 16790 20884 26105 33142 33580 52210 66284 82855 104420 165710 278147 331420 381133 556294 762266 1112588 1390735 1524532 1905665 2781470 3811330 5562940 6397381 7622660 12794762 20304731 25589524 31986905 40609462 63139369 63973810 81218924 101523655 126278738 127947620 203047310 252557476 315696845 406094620 467008813 631393690 934017626 1262787380 1452205487 1868035252 2335044065 2904410974 4609173937 4670088130 5808821948 7261027435 9218347874 9340176260 14522054870 18436695748 23045869685 29044109740 46091739370 92183478740 106011000551 212022001102 424044002204 530055002755 1060110005510 2120220011020