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202210002210104 = 237531373701134369
BaseRepresentation
bin101101111110100010101111…
…010110100000110100111000
3222111222002100201200111211222
4231332202233112200310320
5203001002041031210404
61554021554222411212
760410122234205150
oct5576425726406470
9874862321614758
10202210002210104
1159480864709879
121a8197a0730b08
1388aa424124825
1437d1032b31760
151859e2d688dbe
hexb7e8af5a0d38

202210002210104 has 128 divisors (see below), whose sum is σ = 444828724617600. Its totient is φ = 84382244044800.

The previous prime is 202210002210059. The next prime is 202210002210133. The reversal of 202210002210104 is 401012200012202.

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, 1504818632 + ... + 1504953000.

It is an arithmetic number, because the mean of its divisors is an integer number (3475224411075).

Almost surely, 2202210002210104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202210002210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222414362308800).

202210002210104 is an abundant number, since it is smaller than the sum of its proper divisors (242618722407496).

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

202210002210104 is a wasteful number, since it uses less digits than its factorization.

202210002210104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138273 (or 138269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202210002210104 its reverse (401012200012202), we get a palindrome (603222202222306).

The spelling of 202210002210104 in words is "two hundred two trillion, two hundred ten billion, two million, two hundred ten thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 53 56 106 137 212 274 371 424 548 742 959 1096 1484 1918 2968 3701 3836 7261 7402 7672 14522 14804 25907 29044 29608 50827 51814 58088 101654 103628 134369 196153 203308 207256 268738 392306 406616 507037 537476 784612 940583 1014074 1074952 1373071 1569224 1881166 2028148 2746142 3549259 3762332 4056296 5492284 7098518 7121557 7524664 10984568 14197036 14243114 18408553 26872961 28394072 28486228 36817106 49850899 53745922 56972456 73634212 99701798 107491844 128859871 147268424 188110727 199403596 214983688 257719742 376221454 398807192 497299669 515439484 752442908 975653309 994599338 1030878968 1504885816 1951306618 1989198676 3481097683 3902613236 3978397352 6829573163 6962195366 7805226472 13659146326 13924390732 26356882457 27318292652 27848781464 52713764914 54636585304 68130054653 105427529828 136260109306 184498177199 210855059656 272520218612 368996354398 476910382571 545040437224 737992708796 953820765142 1475985417592 1907641530284 3610892896609 3815283060568 7221785793218 14443571586436 25276250276263 28887143172872 50552500552526 101105001105052 202210002210104