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5211022201125 = 3531319127442987
BaseRepresentation
bin100101111010100100100…
…1000001001000100100101
3200110011120002121122100220
41023311021020021010211
51140334133140414000
615025524402354553
71045324662606246
oct113651110110445
920404502548326
105211022201125
111729a891aa594
12701b2095ba59
132ba521ab2030
14140301676ccd
159083d66d1a0
hex4bd49209125

5211022201125 has 128 divisors (see below), whose sum is σ = 9907054510080. Its totient is φ = 2411261395200.

The previous prime is 5211022201123. The next prime is 5211022201213.

5211022201125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5211022201125 - 21 = 5211022201123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5211022201095 and 5211022201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5211022201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11541882 + ... + 11984868.

It is an arithmetic number, because the mean of its divisors is an integer number (77398863360).

Almost surely, 25211022201125 is an apocalyptic number.

It is an amenable number.

5211022201125 is a deficient number, since it is larger than the sum of its proper divisors (4696032308955).

5211022201125 is a wasteful number, since it uses less digits than its factorization.

5211022201125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443164 (or 443154 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 5211022201125 in words is "five trillion, two hundred eleven billion, twenty-two million, two hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 19 25 39 57 65 75 95 125 127 195 247 285 325 375 381 475 635 741 975 1235 1425 1625 1651 1905 2375 2413 3175 3705 4875 4953 6175 7125 7239 8255 9525 12065 15875 18525 24765 30875 31369 36195 41275 47625 60325 92625 94107 123825 156845 180975 206375 301625 442987 470535 619125 784225 904875 1328961 2214935 2352675 3921125 5758831 6644805 8416753 11074675 11763375 17276493 25250259 28794155 33224025 42083765 55373375 56259349 86382465 109417789 126251295 143970775 166120125 168778047 210418825 281296745 328253367 431912325 547088945 631256475 719853875 731371537 843890235 1052094125 1068927631 1406483725 1641266835 2159561625 2194114611 2735444725 3156282375 3206782893 3656857685 4219451175 5344638155 7032418625 8206334175 10970573055 13677223625 13896059203 16033914465 18284288425 21097255875 26723190775 41031670875 41688177609 54852865275 69480296015 80169572325 91421442125 133615953875 208440888045 274264326375 347401480075 400847861625 1042204440225 1737007400375 5211022201125