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2131211301100 = 225274764778459
BaseRepresentation
bin11111000000110110000…
…101111011000011101100
321112202000210001120022121
4133000312011323003230
5234404210043113400
64311022010322324
7306655255106350
oct37006605730354
97482023046277
102131211301100
11751929245402
122a50624293a4
13125c843891cb
1475218b8b460
153a68736021a
hex1f03617b0ec

2131211301100 has 72 divisors (see below), whose sum is σ = 5397859514880. Its totient is φ = 715154176320.

The previous prime is 2131211301097. The next prime is 2131211301103. The reversal of 2131211301100 is 11031121312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2131211301097) and next prime (2131211301103).

It is a super-2 number, since 2×21312113011002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131211301103) 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, 32356330 + ... + 32422129.

It is an arithmetic number, because the mean of its divisors is an integer number (74970271040).

Almost surely, 22131211301100 is an apocalyptic number.

2131211301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131211301100 is an abundant number, since it is smaller than the sum of its proper divisors (3266648213780).

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

2131211301100 is a wasteful number, since it uses less digits than its factorization.

2131211301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64778527 (or 64778520 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2131211301100 its reverse (11031121312), we get a palindrome (2142242422412).

The spelling of 2131211301100 in words is "two trillion, one hundred thirty-one billion, two hundred eleven million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1316 1645 2350 3290 4700 6580 8225 16450 32900 64778459 129556918 259113836 323892295 453449213 647784590 906898426 1295569180 1619461475 1813796852 2267246065 3044587573 3238922950 4534492130 6089175146 6477845900 9068984260 11336230325 12178350292 15222937865 21312113011 22672460650 30445875730 42624226022 45344921300 60891751460 76114689325 85248452044 106560565055 152229378650 213121130110 304458757300 426242260220 532802825275 1065605650550 2131211301100