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1202101212004 = 2272114727194363
BaseRepresentation
bin10001011111100010110…
…100001101001101100100
311020220211111111201222021
4101133202310031031210
5124143400402241004
62320123200512524
7152564121465400
oct21374264151544
94226744451867
101202101212004
11423898882840
12174b8531b744
1389485a0b414
144227960c100
15214093e1d54
hex117e2d0d364

1202101212004 has 144 divisors (see below), whose sum is σ = 2728029265920. Its totient is φ = 458112594240.

The previous prime is 1202101211933. The next prime is 1202101212019. The reversal of 1202101212004 is 4002121012021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275519527 + ... + 275523889.

It is an arithmetic number, because the mean of its divisors is an integer number (18944647680).

Almost surely, 21202101212004 is an apocalyptic number.

1202101212004 is a gapful number since it is divisible by the number (14) 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 1202101212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364014632960).

1202101212004 is an abundant number, since it is smaller than the sum of its proper divisors (1525928053916).

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

1202101212004 is a wasteful number, since it uses less digits than its factorization.

1202101212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1202101212004 its reverse (4002121012021), we get a palindrome (5204222224025).

The spelling of 1202101212004 in words is "one trillion, two hundred two billion, one hundred one million, two hundred twelve thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 47 49 77 94 98 154 188 196 308 329 517 539 658 1034 1078 1316 2068 2156 2303 2719 3619 4363 4606 5438 7238 8726 9212 10876 14476 17452 19033 25333 29909 30541 38066 47993 50666 59818 61082 76132 95986 101332 119636 122164 127793 133231 191972 205061 209363 213787 255586 266462 335951 410122 418726 427574 511172 532924 671902 820244 837452 855148 894551 1343804 1405723 1435427 1465541 1789102 2255671 2351657 2811446 2870854 2931082 3578204 4511342 4703314 5622892 5741708 5862164 6261857 9022684 9406628 9840061 10047989 11862997 12523714 15789697 19680122 20095978 23725994 25047428 31579394 39360244 40191956 47451988 63158788 68880427 83040979 110527879 130492967 137760854 166081958 221055758 260985934 275521708 332163916 442111516 521971868 557560859 581286853 913450769 1115121718 1162573706 1826901538 2230243436 2325147412 3653803076 3902926013 6133169449 6394155383 7805852026 12266338898 12788310766 15611704052 24532677796 25576621532 27320482091 42932186143 54640964182 85864372286 109281928364 171728744572 300525303001 601050606002 1202101212004