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100222004444240 = 24571311828774707
BaseRepresentation
bin10110110010011011000000…
…111110010011110001010000
3111010212010111210211210121102
4112302123000332103301100
5101114014131114203430
6553053204144243532
730052541461605020
oct2662330076236120
9433763453753542
10100222004444240
1129a2aa057a9a88
12b2a78426105a8
1343bcb821b1c13
141aa6ab14ada80
15b8c00e94e345
hex5b26c0f93c50

100222004444240 has 160 divisors (see below), whose sum is σ = 268355305304064. Its totient is φ = 34097204943360.

The previous prime is 100222004444239. The next prime is 100222004444381. The reversal of 100222004444240 is 42444400222001.

It is a happy number.

It is a super-2 number, since 2×1002220044442402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341496967 + ... + 1341571673.

Almost surely, 2100222004444240 is an apocalyptic number.

100222004444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222004444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134177652652032).

100222004444240 is an abundant number, since it is smaller than the sum of its proper divisors (168133300859824).

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

100222004444240 is a wasteful number, since it uses less digits than its factorization.

100222004444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93145 (or 93139 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 100222004444240 its reverse (42444400222001), we get a palindrome (142666404666241).

The spelling of 100222004444240 in words is "one hundred trillion, two hundred twenty-two billion, four million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2096 2620 3668 4585 5240 7336 9170 10480 14672 18287 18340 36574 36680 73148 73360 74707 91435 128009 146296 149414 182870 256018 292592 298828 365740 373535 512036 522949 597656 640045 731480 747070 1024072 1045898 1195312 1280090 1462960 1494140 2048144 2091796 2395597 2560180 2614745 2988280 4183592 4791194 5120360 5229490 5976560 8367184 9582388 9786617 10240720 10458980 11977985 16769179 19164776 19573234 20917960 23955970 33538358 38329552 39146468 41835920 47911940 48933085 67076716 68506319 78292936 83845895 95823880 97866170 134153432 137012638 156585872 167691790 191647760 195732340 268306864 274025276 335383580 342531595 391464680 548050552 670767160 685063190 782929360 1096101104 1341534320 1366166909 1370126380 2732333818 2740252760 5464667636 5480505520 6830834545 9563168363 10929335272 13661669090 19126336726 21858670544 27323338180 38252673452 47815841815 54646676360 76505346904 95631683630 109293352720 153010693808 178967865079 191263367260 357935730158 382526734520 715871460316 765053469040 894839325395 1252775055553 1431742920632 1789678650790 2505550111106 2863485841264 3579357301580 5011100222212 6263875277765 7158714603160 10022200444424 12527750555530 14317429206320 20044400888848 25055501111060 50111002222120 100222004444240