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42232202300100 = 22352236120609029
BaseRepresentation
bin10011001101000111100110…
…11010101000101011000100
312112112100200210100212221110
421212203303122220223010
521013413022242100400
6225453112250245020
711616114225403461
oct1146436332505304
9175470623325843
1042232202300100
111250263823080a
1248a0a73126770
131a7463086b637
14a60099b70668
154d38532bae50
hex2668f36a8ac4

42232202300100 has 72 divisors (see below), whose sum is σ = 127504527312960. Its totient is φ = 10772271889280.

The previous prime is 42232202300051. The next prime is 42232202300107. The reversal of 42232202300100 is 100320223224.

It is a super-2 number, since 2×422322023001002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42232202300107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3060297615 + ... + 3060311414.

It is an arithmetic number, because the mean of its divisors is an integer number (1770896212680).

Almost surely, 242232202300100 is an apocalyptic number.

It is an amenable number.

42232202300100 is an abundant number, since it is smaller than the sum of its proper divisors (85272325012860).

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

42232202300100 is a wasteful number, since it uses less digits than its factorization.

42232202300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120609069 (or 6120609062 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42232202300100 its reverse (100320223224), we get a palindrome (42332522523324).

The spelling of 42232202300100 in words is "forty-two trillion, two hundred thirty-two billion, two hundred two million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 6120609029 12241218058 18361827087 24482436116 30603045145 36723654174 61206090290 73447308348 91809135435 122412180580 140774007667 153015225725 183618270870 281548015334 306030451450 367236541740 422322023001 459045677175 563096030668 612060902900 703870038335 844644046002 918091354350 1407740076670 1689288092004 1836182708700 2111610115005 2815480153340 3519350191675 4223220230010 7038700383350 8446440460020 10558050575025 14077400766700 21116101150050 42232202300100