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10010022202000 = 245331433754697
BaseRepresentation
bin1001000110101010001111…
…0100010100101010010000
31022102221121122202212101001
42101222203310110222100
52303001011140431000
633142312443351344
72052125452556152
oct221524364245220
938387548685331
1010010022202000
11320a254632797
121158014222554
13577c3061a472
142686b81d0ad2
151255b4c3946a
hex91aa3d14a90

10010022202000 has 160 divisors (see below), whose sum is σ = 25566069095424. Its totient is φ = 3784733568000.

The previous prime is 10010022201983. The next prime is 10010022202001. The reversal of 10010022202000 is 20222001001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10010022202001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788652 + ... + 4543348.

Almost surely, 210010022202000 is an apocalyptic number.

10010022202000 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 10010022202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12783034547712).

10010022202000 is an abundant number, since it is smaller than the sum of its proper divisors (15556046893424).

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

10010022202000 is a wasteful number, since it uses less digits than its factorization.

10010022202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754794 (or 3754778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10010022202000 its reverse (20222001001), we get a palindrome (10030244203001).

The spelling of 10010022202000 in words is "ten trillion, ten billion, twenty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 43 50 62 80 86 100 124 125 155 172 200 215 248 250 310 344 400 430 496 500 620 688 775 860 1000 1075 1240 1333 1550 1720 2000 2150 2480 2666 3100 3440 3875 4300 5332 5375 6200 6665 7750 8600 10664 10750 12400 13330 15500 17200 21328 21500 26660 31000 33325 43000 53320 62000 66650 86000 106640 133300 166625 266600 333250 533200 666500 1333000 2666000 3754697 7509394 15018788 18773485 30037576 37546970 60075152 75093940 93867425 116395607 150187880 161451971 187734850 232791214 300375760 322903942 375469700 465582428 469337125 581978035 645807884 750939400 807259855 931164856 938674250 1163956070 1291615768 1501878800 1614519710 1862329712 1877348500 2327912140 2583231536 2909890175 3229039420 3754697000 4036299275 4655824280 5005011101 5819780350 6458078840 7509394000 8072598550 9311648560 10010022202 11639560700 12916157680 14549450875 16145197100 20020044404 20181496375 23279121400 25025055505 29098901750 32290394200 40040088808 40362992750 46558242800 50050111010 58197803500 64580788400 80080177616 80725985500 100100222020 116395607000 125125277525 161451971000 200200444040 232791214000 250250555050 322903942000 400400888080 500501110100 625626387625 1001002220200 1251252775250 2002004440400 2502505550500 5005011101000 10010022202000