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100220103333112 = 237421673240743
BaseRepresentation
bin10110110010011001001111…
…101010001001010011111000
3111010211221121022120100102011
4112302121033222021103320
5101114001232423124422
6553052251353015304
730052443405460000
oct2662311752112370
9433757538510364
10100220103333112
1129a2a11a665064
12b2a73b19b4534
1343bc93b37c6a9
141aa6970bd7000
15b8be4cac2077
hex5b264fa894f8

100220103333112 has 80 divisors (see below), whose sum is σ = 219229457433840. Its totient is φ = 42949312656768.

The previous prime is 100220103333107. The next prime is 100220103333131. The reversal of 100220103333112 is 211333301022001.

It is a super-2 number, since 2×1002201033331122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 416174613 + ... + 416415355.

It is an arithmetic number, because the mean of its divisors is an integer number (2740368217923).

Almost surely, 2100220103333112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220103333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109614728716920).

100220103333112 is an abundant number, since it is smaller than the sum of its proper divisors (119009354100728).

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

100220103333112 is an equidigital number, since it uses as much as digits as its factorization.

100220103333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262450 (or 262425 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100220103333112 its reverse (211333301022001), we get a palindrome (311553404355113).

The spelling of 100220103333112 in words is "one hundred trillion, two hundred twenty billion, one hundred three million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2401 2744 4802 9604 19208 21673 43346 86692 151711 173384 240743 303422 481486 606844 962972 1061977 1213688 1685201 1925944 2123954 3370402 4247908 6740804 7433839 8495816 11796407 13481608 14867678 23592814 29735356 47185628 52036873 59470712 82574849 94371256 104073746 165149698 208147492 330299396 416294984 578023943 660598792 1156047886 2312095772 4624191544 5217623039 10435246078 20870492156 36523361273 41740984312 73046722546 146093445092 255663528911 292186890184 511327057822 1022654115644 1789644702377 2045308231288 3579289404754 7158578809508 12527512916639 14317157619016 25055025833278 50110051666556 100220103333112