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100131214041222 = 23713976412949491
BaseRepresentation
bin10110110001000110011101…
…011100011010000010000110
3111010112110011110200110101020
4112301012131130122002012
5101111022211243304342
6552543351131012010
730043145554115340
oct2661063534320206
9433473143613336
10100131214041222
11299a5455a02461
12b292124b9a006
1343b44436ba060
141aa253b624290
15b89998ee40ec
hex5b119d71a086

100131214041222 has 128 divisors (see below), whose sum is σ = 249406400775168. Its totient is φ = 26095199846400.

The previous prime is 100131214041169. The next prime is 100131214041241. The reversal of 100131214041222 is 222140412131001.

It is a junction number, because it is equal to n+sod(n) for n = 100131214041192 and 100131214041201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32473897 + ... + 35423387.

It is an arithmetic number, because the mean of its divisors is an integer number (1948487506056).

Almost surely, 2100131214041222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131214041222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124703200387584).

100131214041222 is an abundant number, since it is smaller than the sum of its proper divisors (149275186733946).

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

100131214041222 is a wasteful number, since it uses less digits than its factorization.

100131214041222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950254.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100131214041222 its reverse (222140412131001), we get a palindrome (322271626172223).

The spelling of 100131214041222 in words is "one hundred trillion, one hundred thirty-one billion, two hundred fourteen million, forty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 97 182 194 273 291 546 582 641 679 1261 1282 1358 1923 2037 2522 3783 3846 4074 4487 7566 8333 8827 8974 13461 16666 17654 24999 26481 26922 49998 52962 58331 62177 116662 124354 174993 186531 349986 373062 435239 808301 870478 1305717 1616602 2424903 2611434 2949491 4849806 5658107 5898982 8848473 11316214 16974321 17696946 20646437 33948642 38343383 41292874 61939311 76686766 115030149 123878622 230060298 268403681 286100627 536807362 572201254 805211043 858301881 1610422086 1716603762 1890623731 2002704389 3719308151 3781247462 4005408778 5671871193 6008113167 7438616302 11157924453 11343742386 12016226334 13234366117 22315848906 24578108503 26035157057 26468732234 39703098351 49156217006 52070314114 73734325509 78105471171 79406196702 147468651018 156210942342 172046759521 183390501907 344093519042 366781003814 516140278563 550171505721 1032280557126 1100343011442 1283733513349 2384076524791 2567467026698 3851200540047 4768153049582 7152229574373 7702401080094 14304459148746 16688535673537 33377071347074 50065607020611 100131214041222