Search a number
-
+
22300142432100 = 223521350753112663
BaseRepresentation
bin1010001001000001010000…
…00100010110111101100100
32220221212120021020200110220
411010200220010112331210
510410331142430311400
6115232313301044340
74461063214062261
oct504405004267544
986855507220426
1022300142432100
11711848a0484a5
122601b006b66b0
13c59b82026050
14571492b28268
1528a127ca97a0
hex144828116f64

22300142432100 has 144 divisors (see below), whose sum is σ = 69486942467712. Its totient is φ = 5489108951040.

The previous prime is 22300142432081. The next prime is 22300142432101. The reversal of 22300142432100 is 123424100322.

It is a happy number.

It is a super-2 number, since 2×223001424321002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22300142432101) 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 47 ways as a sum of consecutive naturals, for example, 197880369 + ... + 197993031.

Almost surely, 222300142432100 is an apocalyptic number.

22300142432100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22300142432100 is an abundant number, since it is smaller than the sum of its proper divisors (47186800035612).

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

22300142432100 is a wasteful number, since it uses less digits than its factorization.

22300142432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163446 (or 163439 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22300142432100 its reverse (123424100322), we get a palindrome (22423566532422).

The spelling of 22300142432100 in words is "twenty-two trillion, three hundred billion, one hundred forty-two million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 50753 101506 112663 152259 203012 225326 253765 304518 337989 450652 507530 563315 609036 659789 675978 761295 1015060 1126630 1268825 1319578 1351956 1464619 1522590 1689945 1979367 2253260 2537650 2639156 2816575 2929238 3045180 3298945 3379890 3806475 3958734 4393857 5075300 5633150 5858476 6597890 6759780 7323095 7612950 7917468 8449725 8787714 9896835 11266300 13195780 14646190 15225900 16494725 16899450 17575428 19793670 21969285 29292380 32989450 33798900 36615475 39587340 43938570 49484175 65978900 73230950 87877140 98968350 109846425 146461900 197936700 219692850 439385700 5717985239 11435970478 17153955717 22871940956 28589926195 34307911434 57179852390 68615822868 74333808107 85769778585 114359704780 142949630975 148667616214 171539557170 223001424321 285899261950 297335232428 343079114340 371669040535 428848892925 446002848642 571798523900 743338081070 857697785850 892005697284 1115007121605 1486676162140 1715395571700 1858345202675 2230014243210 3716690405350 4460028486420 5575035608025 7433380810700 11150071216050 22300142432100