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1355151004020 = 22325111307523657
BaseRepresentation
bin10011101110000101010…
…010110101000101110100
311210112212210200201222200
4103232011102311011310
5134200322124112040
62514314153024500
7166622622322512
oct23560522650564
94715783621880
101355151004020
1148279745a860
1219a7793b5130
139aa37086928
14498380474b2
15253b5aed630
hex13b854b5174

1355151004020 has 144 divisors (see below), whose sum is σ = 4487757438528. Its totient is φ = 328269473280.

The previous prime is 1355151004019. The next prime is 1355151004117. The reversal of 1355151004020 is 204001515531.

1355151004020 is a `hidden beast` number, since 1 + 3 + 5 + 515 + 100 + 40 + 2 + 0 = 666.

It is a congruent number.

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, 2326032 + ... + 2849688.

It is an arithmetic number, because the mean of its divisors is an integer number (31164982212).

Almost surely, 21355151004020 is an apocalyptic number.

1355151004020 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 1355151004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243878719264).

1355151004020 is an abundant number, since it is smaller than the sum of its proper divisors (3132606434508).

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

1355151004020 is a wasteful number, since it uses less digits than its factorization.

1355151004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524990 (or 524985 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 1355151004020 its reverse (204001515531), we get a palindrome (1559152519551).

The spelling of 1355151004020 in words is "one trillion, three hundred fifty-five billion, one hundred fifty-one million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1307 1980 2614 3921 5228 6535 7842 11763 13070 14377 15684 19605 23526 26140 28754 39210 43131 47052 57508 58815 71885 78420 86262 117630 129393 143770 172524 215655 235260 258786 287540 431310 517572 523657 646965 862620 1047314 1293930 1570971 2094628 2587860 2618285 3141942 4712913 5236570 5760227 6283884 7854855 9425826 10473140 11520454 15709710 17280681 18851652 23040908 23564565 28801135 31419420 34561362 47129130 51842043 57602270 69122724 86403405 94258260 103684086 115204540 172806810 207368172 259210215 345613620 518420430 684419699 1036840860 1368839398 2053259097 2737678796 3422098495 4106518194 6159777291 6844196990 7528616689 8213036388 10266295485 12319554582 13688393980 15057233378 20532590970 22585850067 24639109164 30114466756 30798886455 37643083445 41065181940 45171700134 61597772910 67757550201 75286166890 90343400268 112929250335 123195545820 135515100402 150572333780 225858500670 271030200804 338787751005 451717001340 677575502010 1355151004020