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31020022211310 = 23351127138540413
BaseRepresentation
bin1110000110110011010010…
…11001111010001011101110
311001211111002200102220102000
413003121221121322023232
513031213001141230220
6145550222415113130
76351060032211156
oct703315131721356
9131744080386360
1031020022211310
11997a576936720
12358ba7a8127a6
13144023888b4b2
1479353ca1b766
1538bd7e1e7390
hex1c366967a2ee

31020022211310 has 128 divisors (see below), whose sum is σ = 90573056133120. Its totient is φ = 7492256092800.

The previous prime is 31020022211291. The next prime is 31020022211329. The reversal of 31020022211310 is 1311222002013.

31020022211310 is a `hidden beast` number, since 310 + 2 + 0 + 0 + 2 + 221 + 131 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31020022211291) and next prime (31020022211329).

It is a super-2 number, since 2×310200222113102 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18465337 + ... + 20075076.

It is an arithmetic number, because the mean of its divisors is an integer number (707602001040).

Almost surely, 231020022211310 is an apocalyptic number.

31020022211310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31020022211310 is an abundant number, since it is smaller than the sum of its proper divisors (59553033921810).

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

31020022211310 is a wasteful number, since it uses less digits than its factorization.

31020022211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38540711 (or 38540705 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31020022211310 its reverse (1311222002013), we get a palindrome (32331244213323).

The spelling of 31020022211310 in words is "thirty-one trillion, twenty billion, twenty-two million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 271 297 330 495 542 594 813 990 1355 1485 1626 2439 2710 2970 2981 4065 4878 5962 7317 8130 8943 12195 14634 14905 17886 24390 26829 29810 36585 44715 53658 73170 80487 89430 134145 160974 268290 402435 804870 38540413 77080826 115621239 192702065 231242478 346863717 385404130 423944543 578106195 693727434 847889086 1040591151 1156212390 1271833629 1734318585 2081182302 2119722715 2543667258 3468637170 3815500887 4239445430 5202955755 6359168145 7631001774 10405911510 10444451923 11446502661 12718336290 19077504435 20888903846 22893005322 31333355769 38155008870 52222259615 57232513305 62666711538 94000067307 104444519230 114465026610 114888971153 156666778845 188000134614 229777942306 282000201921 313333557690 344666913459 470000336535 564000403842 574444855765 689333826918 940000673070 1034000740377 1148889711530 1410001009605 1723334567295 2068001480754 2820002019210 3102002221131 3446669134590 5170003701885 6204004442262 10340007403770 15510011105655 31020022211310